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7-8=72\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 8\left(x-1\right), the least common multiple of 8x-8,x-1.
-1=72\left(x-1\right)
Subtract 8 from 7 to get -1.
-1=72x-72
Use the distributive property to multiply 72 by x-1.
72x-72=-1
Swap sides so that all variable terms are on the left hand side.
72x=-1+72
Add 72 to both sides.
72x=71
Add -1 and 72 to get 71.
x=\frac{71}{72}
Divide both sides by 72.