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\frac{5x+2}{9x\left(5x+2\right)}\left(x-1\right)
Factor the expressions that are not already factored in \frac{5x+2}{45x^{2}+18x}.
\frac{1}{9x}\left(x-1\right)
Cancel out 5x+2 in both numerator and denominator.
\frac{x-1}{9x}
Express \frac{1}{9x}\left(x-1\right) as a single fraction.
\frac{5x+2}{9x\left(5x+2\right)}\left(x-1\right)
Factor the expressions that are not already factored in \frac{5x+2}{45x^{2}+18x}.
\frac{1}{9x}\left(x-1\right)
Cancel out 5x+2 in both numerator and denominator.
\frac{x-1}{9x}
Express \frac{1}{9x}\left(x-1\right) as a single fraction.