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\frac{\left(x-3\right)\times 2x}{\left(x+7\right)\left(x-3\right)}
Multiply \frac{x-3}{x+7} times \frac{2x}{x-3} by multiplying numerator times numerator and denominator times denominator.
\frac{2x}{x+7}
Cancel out x-3 in both numerator and denominator.
\frac{\left(x-3\right)\times 2x}{\left(x+7\right)\left(x-3\right)}
Multiply \frac{x-3}{x+7} times \frac{2x}{x-3} by multiplying numerator times numerator and denominator times denominator.
\frac{2x}{x+7}
Cancel out x-3 in both numerator and denominator.