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7x+15=3x-9
We move all terms to the left:
7x+15-(3x-9)=0
We get rid of parentheses
7x-3x+9+15=0
We add all the numbers together, and all the variables
4x+24=0
We move all terms containing x to the left, all other terms to the right
4x=-24
x=-24/4
x=-6
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