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11x-7=8x+10
We move all terms to the left:
11x-7-(8x+10)=0
We get rid of parentheses
11x-8x-10-7=0
We add all the numbers together, and all the variables
3x-17=0
We move all terms containing x to the left, all other terms to the right
3x=17
x=17/3
x=5+2/3
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