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8x+21=10x+7
We move all terms to the left:
8x+21-(10x+7)=0
We get rid of parentheses
8x-10x-7+21=0
We add all the numbers together, and all the variables
-2x+14=0
We move all terms containing x to the left, all other terms to the right
-2x=-14
x=-14/-2
x=+7
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