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\frac{3x}{x+9}+6
Express \frac{3}{x+9}x as a single fraction.
\frac{3x}{x+9}+\frac{6\left(x+9\right)}{x+9}
To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{x+9}{x+9}.
\frac{3x+6\left(x+9\right)}{x+9}
Since \frac{3x}{x+9} and \frac{6\left(x+9\right)}{x+9} have the same denominator, add them by adding their numerators.
\frac{3x+6x+54}{x+9}
Do the multiplications in 3x+6\left(x+9\right).
\frac{9x+54}{x+9}
Combine like terms in 3x+6x+54.