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10x-7=8x+13=
We move all terms to the left:
10x-7-(8x+13)=0
We get rid of parentheses
10x-8x-13-7=0
We add all the numbers together, and all the variables
2x-20=0
We move all terms containing x to the left, all other terms to the right
2x=20
x=20/2
x=10
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