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15x+8=16x+1
We move all terms to the left:
15x+8-(16x+1)=0
We get rid of parentheses
15x-16x-1+8=0
We add all the numbers together, and all the variables
-1x+7=0
We move all terms containing x to the left, all other terms to the right
-x=-7
x=-7/-1
x=+7
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