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\frac{6}{x+5}+\frac{2\left(x+5\right)}{x+5}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x+5}{x+5}.
\frac{6+2\left(x+5\right)}{x+5}
Since \frac{6}{x+5} and \frac{2\left(x+5\right)}{x+5} have the same denominator, add them by adding their numerators.
\frac{6+2x+10}{x+5}
Do the multiplications in 6+2\left(x+5\right).
\frac{16+2x}{x+5}
Combine like terms in 6+2x+10.