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6x+18=10x-42
We move all terms to the left:
6x+18-(10x-42)=0
We get rid of parentheses
6x-10x+42+18=0
We add all the numbers together, and all the variables
-4x+60=0
We move all terms containing x to the left, all other terms to the right
-4x=-60
x=-60/-4
x=+15
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