1. **State the problem:** We need to find which expression is NOT equivalent to $$\frac{1}{2} \cdot (x - 6)$$. 2. **Recall the distributive property:** $$a(b - c) = ab - ac$$. 3. **Apply the distributive property to the original expression:** $$\frac{1}{2} \cdot (x - 6) = \frac{1}{2}x - \frac{1}{2} \cdot 6 = \frac{1}{2}x - 3$$ 4. **Check each option:** - A) $$\frac{1}{2}x - 6$$ (This is $$\frac{1}{2}x - 6$$, which is NOT equal to $$\frac{1}{2}x - 3$$) - B) $$\frac{1}{2}x - \frac{6}{2} = \frac{1}{2}x - 3$$ (Equivalent) - C) $$\frac{x}{2} - 3$$ (Equivalent) - D) $$\frac{x - 6}{2} = \frac{1}{2}x - 3$$ (Equivalent) 5. **Conclusion:** Option A is NOT equivalent to $$\frac{1}{2} \cdot (x - 6)$$. **Final answer:** A