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\frac{x^{2}+6x+5+x^{2}-7x-8}{x-6}
Since \frac{x^{2}+6x+5}{x-6} and \frac{x^{2}-7x-8}{x-6} have the same denominator, add them by adding their numerators.
\frac{2x^{2}-x-3}{x-6}
Combine like terms in x^{2}+6x+5+x^{2}-7x-8.
\frac{x^{2}+6x+5+x^{2}-7x-8}{x-6}
Since \frac{x^{2}+6x+5}{x-6} and \frac{x^{2}-7x-8}{x-6} have the same denominator, add them by adding their numerators.
\frac{2x^{2}-x-3}{x-6}
Combine like terms in x^{2}+6x+5+x^{2}-7x-8.