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(x+1)/8=x-6
We move all terms to the left:
(x+1)/8-(x-6)=0
We get rid of parentheses
(x+1)/8-x+6=0
We multiply all the terms by the denominator
(x+1)-x*8+6*8=0
We add all the numbers together, and all the variables
(x+1)-x*8+48=0
Wy multiply elements
(x+1)-8x+48=0
We get rid of parentheses
x-8x+1+48=0
We add all the numbers together, and all the variables
-7x+49=0
We move all terms containing x to the left, all other terms to the right
-7x=-49
x=-49/-7
x=+7
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