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\frac{x+3}{3\left(-x-3\right)}
Factor the expressions that are not already factored.
\frac{-\left(-x-3\right)}{3\left(-x-3\right)}
Extract the negative sign in x+3.
\frac{-1}{3}
Cancel out -x-3 in both numerator and denominator.
-\frac{1}{3}
Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.