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