1. The problem is to simplify the expression $$\frac{-3x - 3}{3}$$. 2. The formula used here is the distributive property of division over addition/subtraction: $$\frac{a + b}{c} = \frac{a}{c} + \frac{b}{c}$$. 3. Apply the distributive property: $$\frac{-3x - 3}{3} = \frac{-3x}{3} + \frac{-3}{3}$$ 4. Simplify each term: $$\frac{-3x}{3} = -x$$ $$\frac{-3}{3} = -1$$ 5. Combine the simplified terms: $$-x - 1$$ 6. Therefore, the simplified form of the expression is $$-x - 1$$.