document.write( "Question 33866This question is from textbook
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\n" ); document.write( " -3+3x=-2(x+1)
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Algebra.Com's Answer #20269 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=0.2.
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  • Graphical form: Equation \"-3%2B3x=-2%2A%28x%2B1%29\" was fully solved.
  • Text form: -3+3x=-2*(x+1) simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+-3%2B3x=-2%2A%28x%2B1%29+%29\"
    For tutors: simplify_cartoon( -3+3x=-2*(x+1) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"-highlight_red%28+3+%29%2B3%2Ax=-2%2A%28x%2B1%29\".
Moved \"-3\" to the right of expression
It becomes \"3%2Ax-highlight_green%28+3+%29=-2%2A%28x%2B1%29\".
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Look at \"3%2Ax-3=highlight_red%28+-2%2A%28x%2B1%29+%29\".
Moved these terms to the left \"highlight_green%28+2%2A%28x%2B1%29+%29\"
It becomes \"3%2Ax-3%2Bhighlight_green%28+2%2A%28x%2B1%29+%29=0\".
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Look at \"3%2Ax-highlight_red%28+3+%29%2B2%2A%28x%2B1%29=0\".
Moved \"-3\" to the right of expression
It becomes \"3%2Ax%2B2%2A%28x%2B1%29-highlight_green%28+3+%29=0\".
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Look at \"3%2Ax%2Bhighlight_red%28+2%2A%28x%2B1%29+%29-3=0\".
Expanded term \"2\" by using associative property on \"%28x%2B1%29\"
It becomes \"3%2Ax%2Bhighlight_green%28+2%2Ax+%29%2Bhighlight_green%28+2%2A1+%29-3=0\".
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Look at \"3%2Ax%2B2%2Ax%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+1+%29-3=0\".
Multiplied numerator integers
It becomes \"3%2Ax%2B2%2Ax%2Bhighlight_green%28+2+%29-3=0\".
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Look at \"3%2Ax%2B2%2Ax%2Bhighlight_red%28+2+%29-highlight_red%28+3+%29=0\".
Added fractions or integers together
It becomes \"3%2Ax%2B2%2Ax%2Bhighlight_green%28+-1+%29=0\".
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Look at \"3%2Ax%2B2%2Ax%2Bhighlight_red%28+-1+%29=0\".
Removed extra sign in front of \"-1\"
It becomes \"3%2Ax%2B2%2Ax-highlight_green%28+1+%29=0\".
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Look at \"highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+2%2Ax+%29-1=0\".
Eliminated similar terms \"highlight_red%28+3%2Ax+%29\",\"highlight_red%28+2%2Ax+%29\" replacing them with \"highlight_green%28+%283%2B2%29%2Ax+%29\"
It becomes \"highlight_green%28+%283%2B2%29%2Ax+%29-1=0\".
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Look at \"%28highlight_red%28+3+%29%2Bhighlight_red%28+2+%29%29%2Ax-1=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+5+%29%29%2Ax-1=0\".
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Look at \"highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-1=0\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\"
It becomes \"highlight_green%28+5+%29%2Ax-1=0\".
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Look at \"highlight_red%28+5%2Ax-1+%29=0\".
Solved linear equation \"highlight_red%28+5%2Ax-1=0+%29\" equivalent to 5*x-1 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!
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