$$\frac{x-3}{x^{2}+3x-18}+\frac{x+5}{x^{2}+11x+30}$$
$\frac{2}{x+6}$
$$\frac{x-3}{\left(x-3\right)\left(x+6\right)}+\frac{x+5}{x^{2}+11x+30}$$
$$\frac{1}{x+6}+\frac{x+5}{x^{2}+11x+30}$$
$$\frac{1}{x+6}+\frac{x+5}{\left(x+5\right)\left(x+6\right)}$$
$$\frac{1}{x+6}+\frac{1}{x+6}$$
$$2\times \frac{1}{x+6}$$
$$\frac{2}{x+6}$$
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