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