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\frac{4\left(x-1\right)}{9\left(-x+1\right)}
Factor the expressions that are not already factored.
\frac{-4\left(-x+1\right)}{9\left(-x+1\right)}
Extract the negative sign in -1+x.
\frac{-4}{9}
Cancel out -x+1 in both numerator and denominator.
-\frac{4}{9}
Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.