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7x/8=1
We move all terms to the left:
7x/8-(1)=0
We multiply all the terms by the denominator
7x-1*8=0
We add all the numbers together, and all the variables
7x-8=0
We move all terms containing x to the left, all other terms to the right
7x=8
x=8/7
x=1+1/7
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