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\frac{2x-2}{3+2x-1}
Add -3 and 1 to get -2.
\frac{2x-2}{2+2x}
Subtract 1 from 3 to get 2.
\frac{2\left(x-1\right)}{2\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{x-1}{x+1}
Cancel out 2 in both numerator and denominator.
\frac{2x-2}{3+2x-1}
Add -3 and 1 to get -2.
\frac{2x-2}{2+2x}
Subtract 1 from 3 to get 2.
\frac{2\left(x-1\right)}{2\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{x-1}{x+1}
Cancel out 2 in both numerator and denominator.