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7x-12=10x-33
We move all terms to the left:
7x-12-(10x-33)=0
We get rid of parentheses
7x-10x+33-12=0
We add all the numbers together, and all the variables
-3x+21=0
We move all terms containing x to the left, all other terms to the right
-3x=-21
x=-21/-3
x=+7
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