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\left(3x+5\right)\times \frac{x+4}{\left(x+1\right)\left(x+4\right)}
Factor the expressions that are not already factored in \frac{x+4}{x^{2}+5x+4}.
\left(3x+5\right)\times \frac{1}{x+1}
Cancel out x+4 in both numerator and denominator.
\frac{3x+5}{x+1}
Express \left(3x+5\right)\times \frac{1}{x+1} as a single fraction.
\left(3x+5\right)\times \frac{x+4}{\left(x+1\right)\left(x+4\right)}
Factor the expressions that are not already factored in \frac{x+4}{x^{2}+5x+4}.
\left(3x+5\right)\times \frac{1}{x+1}
Cancel out x+4 in both numerator and denominator.
\frac{3x+5}{x+1}
Express \left(3x+5\right)\times \frac{1}{x+1} as a single fraction.