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