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5x+66=12x+52
We move all terms to the left:
5x+66-(12x+52)=0
We get rid of parentheses
5x-12x-52+66=0
We add all the numbers together, and all the variables
-7x+14=0
We move all terms containing x to the left, all other terms to the right
-7x=-14
x=-14/-7
x=+2
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