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\frac{1}{x-2}\times \frac{x\left(x-2\right)}{x}
Factor the expressions that are not already factored in \frac{x^{2}-2x}{x}.
\frac{1}{x-2}\left(x-2\right)
Cancel out x in both numerator and denominator.
1
Cancel out x-2 and x-2.