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2(x-1)+2(x-2)=3x-12
We move all terms to the left:
2(x-1)+2(x-2)-(3x-12)=0
We multiply parentheses
2x+2x-(3x-12)-2-4=0
We get rid of parentheses
2x+2x-3x+12-2-4=0
We add all the numbers together, and all the variables
x+6=0
We move all terms containing x to the left, all other terms to the right
x=-6
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