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\frac{4x-\left(x+1\right)}{x+9}
Since \frac{4x}{x+9} and \frac{x+1}{x+9} have the same denominator, subtract them by subtracting their numerators.
\frac{4x-x-1}{x+9}
Do the multiplications in 4x-\left(x+1\right).
\frac{3x-1}{x+9}
Combine like terms in 4x-x-1.
\frac{4x-\left(x+1\right)}{x+9}
Since \frac{4x}{x+9} and \frac{x+1}{x+9} have the same denominator, subtract them by subtracting their numerators.
\frac{4x-x-1}{x+9}
Do the multiplications in 4x-\left(x+1\right).
\frac{3x-1}{x+9}
Combine like terms in 4x-x-1.