1. **Problem:** Solve the equation $-\frac{3}{4}x = 3$ for $x$. 2. **Formula and rules:** To solve for $x$, divide both sides of the equation by the coefficient of $x$, which is $-\frac{3}{4}$. Dividing by a fraction is the same as multiplying by its reciprocal. 3. **Intermediate work:** $$x = \frac{3}{-\frac{3}{4}} = 3 \times \frac{4}{-3}$$ 4. **Simplify:** $$x = \cancel{3} \times \frac{4}{-\cancel{3}} = -4$$ 5. **Answer:** The solution is $x = -4$.