1. **State the problem:** Solve the equation $-2(3x - 2) = -2$ for $x$. 2. **Use the distributive property:** Multiply $-2$ by each term inside the parentheses. $$-2 \times 3x = -6x$$ $$-2 \times (-2) = +4$$ So the equation becomes: $$-6x + 4 = -2$$ 3. **Isolate the variable term:** Subtract 4 from both sides. $$-6x + 4 - 4 = -2 - 4$$ $$-6x = -6$$ 4. **Solve for $x$ by dividing both sides by $-6$:** $$x = \frac{-6}{-6}$$ Show cancellation: $$x = \frac{\cancel{-6}}{\cancel{-6}} = 1$$ 5. **Final answer:** $$x = 1$$