document.write( "Question 943201: 2.Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your explanation.
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\n" ); document.write( "\n" ); document.write( "3(3x+6) = 4(7x−1)
\n" ); document.write( "9x+18 = 28x−1
\n" ); document.write( "9x−9x+18 = 28x−9x−1
\n" ); document.write( "18 = 19x−1
\n" ); document.write( "18+1 = 19x−1+1
\n" ); document.write( "19 = 19x
\n" ); document.write( "1 = x \r
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Algebra.Com's Answer #575016 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "He can check by substituting (1) for x.\r\n" );
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document.write( "3(3x+6) = 4(7x−1) \r\n" );
document.write( "3(3·1+6) = 4(7·1−1)\r\n" );
document.write( "3(3+6) = 4(7-1)\r\n" );
document.write( "3(9) = 4(6)\r\n" );
document.write( "27 = 24\r\n" );
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document.write( "False so there is a mistake.\r\n" );
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document.write( "3(3x+6) = 4(7x−1) \r\n" );
document.write( "9x+18 = 28x−1        <--should be   9x+18 = 28x−4\r\n" );
document.write( "9x−9x+18 = 28x−9x−1  <--should be   9x−9x+18 = 28x−9x−4\r\n" );
document.write( "18 = 19x−1           <--should be   18 = 19x-4\r\n" );
document.write( "18+1 = 19x−1+1       <--dhould be   18+4 = 19x-4+4 \r\n" );
document.write( "19 = 19x             <--should be   22 = 19x \r\n" );
document.write( "1 = x                <--should be   \"22%2F19\" = x\r\n" );
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document.write( "Common error in distributing: A(B + C), forgetting to \r\n" );
document.write( "multiply the A by the C.\r\n" );
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document.write( "Check the terribly ugly answer \"22%2F19\"\r\n" );
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document.write( "\"3%283x%2B6%29\"\"%22%22=%22%22\"\"4%287x-1%29\"\r\n" );
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document.write( "\"3%283%2822%2F19%29%5E%22%22%2B6%29\"\"%22%22=%22%22\"\"4%287%2822%2F19%29%5E%22%22-1%29\"\r\n" );
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document.write( "\"3%28%2866%2F19%29%5E%22%22%2B6%29\"\"%22%22=%22%22\"\"4%28%28154%2F19%29%5E%22%22-1%29\"\r\n" );
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document.write( "\"3%28%2866%2F19%29%5E%22%22%2B%286%2F1%29%29\"\"%22%22=%22%22\"\"4%28%28154%2F19%29%5E%22%22-%281%2F1%29%29\"\r\n" );
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document.write( "\"3%28%2866%2F19%29%5E%22%22%2B%28%286%2A19%29%2F%281%2A19%29%29%29\"\"%22%22=%22%22\"\"4%28%28154%2F19%29%5E%22%22-%28%281%2A19%29%2F%281%2A19%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"3%28%2866%2F19%29%5E%22%22%2B%28114%2F19%29%29\"\"%22%22=%22%22\"\"4%28%28154%2F19%29%5E%22%22-%28%2819%29%2F%2819%29%29%29\"\r\n" );
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document.write( "\"3%28%2866%2B114%29%2F19%29%29\"\"%22%22=%22%22\"\"4%28%28154-19%29%2F%2819%29%29%29\"\r\n" );
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document.write( "\"3%28%28180%29%2F19%29%29\"\"%22%22=%22%22\"\"4%28%28135%29%2F%2819%29%29%29\"\r\n" );
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document.write( "\"540%2F19\"\"%22%22=%22%22\"\"540%2F19\"\r\n" );
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document.write( "Trouble is, when you get a terribly ugly solution such as \"22%2F19\",\r\n" );
document.write( "to check the terribly ugly answer is much harder than solving\r\n" );
document.write( "the equation.\r\n" );
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document.write( "Edwin
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