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3(x-1)+2(2-x)=3x-7-5x
We move all terms to the left:
3(x-1)+2(2-x)-(3x-7-5x)=0
We add all the numbers together, and all the variables
3(x-1)+2(-1x+2)-(-2x-7)=0
We multiply parentheses
3x-2x-(-2x-7)-3+4=0
We get rid of parentheses
3x-2x+2x+7-3+4=0
We add all the numbers together, and all the variables
3x+8=0
We move all terms containing x to the left, all other terms to the right
3x=-8
x=-8/3
x=-2+2/3
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