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x/7-5x/7=1/7
We move all terms to the left:
x/7-5x/7-(1/7)=0
We add all the numbers together, and all the variables
x/7-5x/7-(+1/7)=0
We get rid of parentheses
x/7-5x/7-1/7=0
We multiply all the terms by the denominator
x-5x-1=0
We add all the numbers together, and all the variables
-4x-1=0
We move all terms containing x to the left, all other terms to the right
-4x=1
x=1/-4
x=-1/4
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