Answer
$$= \frac{-x - 5}{x+3}$$
Work Step by Step
$$\frac{x + 1}{x + 3} - 2$$ $$= \frac{x + 1}{x + 3} - 2(\frac{x + 3}{x + 3})$$ $$= \frac{x + 1}{x + 3} - \frac{2x + 6}{x + 3}$$ $$= \frac{x + 1 - 2x - 6}{x + 3}$$ $$= \frac{-x - 5}{x+3}$$ $$OR$$ $$=-\frac{x + 5}{x + 3}$$ Both proposed solutions are equally simplified.