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7-12x=3x+22
We move all terms to the left:
7-12x-(3x+22)=0
We get rid of parentheses
-12x-3x-22+7=0
We add all the numbers together, and all the variables
-15x-15=0
We move all terms containing x to the left, all other terms to the right
-15x=15
x=15/-15
x=-1
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