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\frac{6x+1+2x+17}{4x+9}
Since \frac{6x+1}{4x+9} and \frac{2x+17}{4x+9} have the same denominator, add them by adding their numerators.
\frac{8x+18}{4x+9}
Combine like terms in 6x+1+2x+17.
\frac{2\left(4x+9\right)}{4x+9}
Factor the expressions that are not already factored in \frac{8x+18}{4x+9}.
2
Cancel out 4x+9 in both numerator and denominator.