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3(x+1)=-2x+33
We move all terms to the left:
3(x+1)-(-2x+33)=0
We multiply parentheses
3x-(-2x+33)+3=0
We get rid of parentheses
3x+2x-33+3=0
We add all the numbers together, and all the variables
5x-30=0
We move all terms containing x to the left, all other terms to the right
5x=30
x=30/5
x=6
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