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3x-9=4x+15
We move all terms to the left:
3x-9-(4x+15)=0
We get rid of parentheses
3x-4x-15-9=0
We add all the numbers together, and all the variables
-1x-24=0
We move all terms containing x to the left, all other terms to the right
-x=24
x=24/-1
x=-24
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