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3(x-1)+2(x-2)=3
We move all terms to the left:
3(x-1)+2(x-2)-(3)=0
We multiply parentheses
3x+2x-3-4-3=0
We add all the numbers together, and all the variables
5x-10=0
We move all terms containing x to the left, all other terms to the right
5x=10
x=10/5
x=2
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