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2(3x+1)=5x-5
We move all terms to the left:
2(3x+1)-(5x-5)=0
We multiply parentheses
6x-(5x-5)+2=0
We get rid of parentheses
6x-5x+5+2=0
We add all the numbers together, and all the variables
x+7=0
We move all terms containing x to the left, all other terms to the right
x=-7
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