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x-7=8x
Combine 7x and x to get 8x.
x-7-8x=0
Subtract 8x from both sides.
-7x-7=0
Combine x and -8x to get -7x.
-7x=7
Add 7 to both sides. Anything plus zero gives itself.
x=\frac{7}{-7}
Divide both sides by -7.
x=-1
Divide 7 by -7 to get -1.