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15x=-7x+242
We move all terms to the left:
15x-(-7x+242)=0
We get rid of parentheses
15x+7x-242=0
We add all the numbers together, and all the variables
22x-242=0
We move all terms containing x to the left, all other terms to the right
22x=242
x=242/22
x=11
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