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x=38x+52
We move all terms to the left:
x-(38x+52)=0
We get rid of parentheses
x-38x-52=0
We add all the numbers together, and all the variables
-37x-52=0
We move all terms containing x to the left, all other terms to the right
-37x=52
x=52/-37
x=-1+15/37
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