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\frac{5x+3+5x+9}{5x+6}
Since \frac{5x+3}{5x+6} and \frac{5x+9}{5x+6} have the same denominator, add them by adding their numerators.
\frac{10x+12}{5x+6}
Combine like terms in 5x+3+5x+9.
\frac{2\left(5x+6\right)}{5x+6}
Factor the expressions that are not already factored in \frac{10x+12}{5x+6}.
2
Cancel out 5x+6 in both numerator and denominator.