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4(x+6)=x+15
We move all terms to the left:
4(x+6)-(x+15)=0
We multiply parentheses
4x-(x+15)+24=0
We get rid of parentheses
4x-x-15+24=0
We add all the numbers together, and all the variables
3x+9=0
We move all terms containing x to the left, all other terms to the right
3x=-9
x=-9/3
x=-3
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