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3(2x+1)=5x-6
We move all terms to the left:
3(2x+1)-(5x-6)=0
We multiply parentheses
6x-(5x-6)+3=0
We get rid of parentheses
6x-5x+6+3=0
We add all the numbers together, and all the variables
x+9=0
We move all terms containing x to the left, all other terms to the right
x=-9
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