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10x+1=8x+7=
We move all terms to the left:
10x+1-(8x+7)=0
We get rid of parentheses
10x-8x-7+1=0
We add all the numbers together, and all the variables
2x-6=0
We move all terms containing x to the left, all other terms to the right
2x=6
x=6/2
x=3
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