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1=-8\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 x-1.
1=-8x+8
Use the distributive property to multiply -8 by x-1.
-8x+8=1
Swap sides so that all variable terms are on the left hand side.
-8x=1-8
Subtract 8 from both sides.
-8x=-7
Subtract 8 from 1 to get -7.
x=\frac{-7}{-8}
Divide both sides by -8.
x=\frac{7}{8}
Fraction \frac{-7}{-8} can be simplified to \frac{7}{8} by removing the negative sign from both the numerator and the denominator.