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\frac{\left(x+10\right)\left(4x+32\right)}{\left(x+8\right)\left(5x+50\right)}
Divide \frac{x+10}{x+8} by \frac{5x+50}{4x+32} by multiplying \frac{x+10}{x+8} by the reciprocal of \frac{5x+50}{4x+32}.
\frac{4\left(x+8\right)\left(x+10\right)}{5\left(x+8\right)\left(x+10\right)}
Factor the expressions that are not already factored.
\frac{4}{5}
Cancel out \left(x+8\right)\left(x+10\right) in both numerator and denominator.