document.write( "Question 198058: 3(7 + 2x) ≤ 30 + 7(x - 1)\r
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\n" ); document.write( "\n" ); document.write( "Debra
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Algebra.Com's Answer #148530 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"3%287%2B2x%29%3C=30%2B7%28x-1%29\" Start with the given inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"21%2B6x%3C=30%2B7x-7\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"21%2B6x%3C=7x%2B23\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"6x%3C=7x%2B23-21\" Subtract \"21\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"6x-7x%3C=23-21\" Subtract \"7x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-x%3C=23-21\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-x%3C=2\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=%282%29%2F%28-1%29\" Divide both sides by \"-1\" to isolate \"x\". note: Remember, the inequality sign flips when we divide both sides by a negative number. \r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=-2\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"x%3E=-2\"
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