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\frac{\left(x+5\right)\left(5x+4\right)}{x+2}
Express \left(x+5\right)\times \frac{5x+4}{x+2} as a single fraction.
\frac{5x^{2}+4x+25x+20}{x+2}
Apply the distributive property by multiplying each term of x+5 by each term of 5x+4.
\frac{5x^{2}+29x+20}{x+2}
Combine 4x and 25x to get 29x.
\frac{\left(x+5\right)\left(5x+4\right)}{x+2}
Express \left(x+5\right)\times \frac{5x+4}{x+2} as a single fraction.
\frac{5x^{2}+4x+25x+20}{x+2}
Apply the distributive property by multiplying each term of x+5 by each term of 5x+4.
\frac{5x^{2}+29x+20}{x+2}
Combine 4x and 25x to get 29x.