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16x+138=9x+82
We move all terms to the left:
16x+138-(9x+82)=0
We get rid of parentheses
16x-9x-82+138=0
We add all the numbers together, and all the variables
7x+56=0
We move all terms containing x to the left, all other terms to the right
7x=-56
x=-56/7
x=-8
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