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\frac{\left(6x+36\right)\left(x-4\right)}{\left(7x-28\right)\left(x+6\right)}
Divide \frac{6x+36}{7x-28} by \frac{x+6}{x-4} by multiplying \frac{6x+36}{7x-28} by the reciprocal of \frac{x+6}{x-4}.
\frac{6\left(x-4\right)\left(x+6\right)}{7\left(x-4\right)\left(x+6\right)}
Factor the expressions that are not already factored.
\frac{6}{7}
Cancel out \left(x-4\right)\left(x+6\right) in both numerator and denominator.