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11x-15=8x+48
We move all terms to the left:
11x-15-(8x+48)=0
We get rid of parentheses
11x-8x-48-15=0
We add all the numbers together, and all the variables
3x-63=0
We move all terms containing x to the left, all other terms to the right
3x=63
x=63/3
x=21
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