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