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