document.write( "Question 616048: 6(-6x+2)-3(x-11) simplify for x \n" ); document.write( "
Algebra.Com's Answer #387493 by asuar010(338)\"\" \"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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  • Graphical form: \"6%2A%28-6x%2B2%29-3%2A%28x-11%29\" simplifies to \"-39%2Ax%2B45\"
  • Text form: 6*(-6x+2)-3*(x-11) simplifies to -39*x+45
  • Cartoon (animation) form: \"simplify_cartoon%28+6%2A%28-6x%2B2%29-3%2A%28x-11%29+%29\"
    For tutors: simplify_cartoon( 6*(-6x+2)-3*(x-11) )
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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+6%2A%28-6%2Ax%2B2%29+%29-3%2A%28x-11%29\".
Expanded term \"6\" by using associative property on \"%28-6%2Ax%2B2%29\"
It becomes \"-highlight_green%28+6%2A6%2Ax+%29%2Bhighlight_green%28+6%2A2+%29-3%2A%28x-11%29\".
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Look at \"-highlight_red%28+6+%29%2Ahighlight_red%28+6+%29%2Ax%2B6%2A2-3%2A%28x-11%29\".
Multiplied numerator integers
It becomes \"-highlight_green%28+36+%29%2Ax%2B6%2A2-3%2A%28x-11%29\".
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Look at \"-36%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+2+%29-3%2A%28x-11%29\".
Multiplied numerator integers
It becomes \"-36%2Ax%2Bhighlight_green%28+12+%29-3%2A%28x-11%29\".
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Look at \"-36%2Ax%2Bhighlight_red%28+12+%29-3%2A%28x-11%29\".
Moved \"12\" to the right of expression
It becomes \"-36%2Ax-3%2A%28x-11%29%2Bhighlight_green%28+12+%29\".
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Look at \"-36%2Ax-highlight_red%28+3%2A%28x-11%29+%29%2B12\".
Expanded term \"-3\" by using associative property on \"%28x-11%29\"
It becomes \"-36%2Ax-highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A11+%29%2B12\".
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Look at \"-36%2Ax-3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+11+%29%2B12\".
Multiplied numerator integers
It becomes \"-36%2Ax-3%2Ax%2Bhighlight_green%28+33+%29%2B12\".
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Look at \"-36%2Ax-3%2Ax%2Bhighlight_red%28+33+%29%2Bhighlight_red%28+12+%29\".
Added fractions or integers together
It becomes \"-36%2Ax-3%2Ax%2Bhighlight_green%28+45+%29\".
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Look at \"-highlight_red%28+36%2Ax+%29-highlight_red%28+3%2Ax+%29%2B45\".
Eliminated similar terms \"highlight_red%28+-36%2Ax+%29\",\"highlight_red%28+-3%2Ax+%29\" replacing them with \"highlight_green%28+%28-36-3%29%2Ax+%29\"
It becomes \"highlight_green%28+%28-36-3%29%2Ax+%29%2B45\".
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Look at \"%28-highlight_red%28+36+%29-highlight_red%28+3+%29%29%2Ax%2B45\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-39+%29%29%2Ax%2B45\".
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Look at \"%28highlight_red%28+-39+%29%29%2Ax%2B45\".
Removed extra sign in front of \"-39\"
It becomes \"%28-highlight_green%28+39+%29%29%2Ax%2B45\".
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Look at \"highlight_red%28+%28-highlight_red%28+39+%29%29%2Ax+%29%2B45\".
Remove unneeded parentheses around factor \"highlight_red%28+39+%29\"
It becomes \"-highlight_green%28+39+%29%2Ax%2B45\".
Result: \"-39%2Ax%2B45\"
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Universal Simplifier and Solver

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Done!
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