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6x-6=6\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.
6x-6=6x-6
Use the distributive property to multiply 6 by x-1.
6x-6-6x=-6
Subtract 6x from both sides.
-6=-6
Combine 6x and -6x to get 0.
\text{true}
Compare -6 and -6.
x\in \mathrm{R}
This is true for any x.
x\in \mathrm{R}\setminus 1
Variable x cannot be equal to 1.