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