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\frac{x^{2}-49}{\left(x-7\right)\left(3x+21\right)}
Express \frac{\frac{x^{2}-49}{x-7}}{3x+21} as a single fraction.
\frac{\left(x-7\right)\left(x+7\right)}{3\left(x-7\right)\left(x+7\right)}
Factor the expressions that are not already factored.
\frac{1}{3}
Cancel out \left(x-7\right)\left(x+7\right) in both numerator and denominator.