Let's simplify the expression $-\frac{1}{2}(x - (-4))$:

Step 1: Simplify the expression inside the parentheses

Subtracting $-4$ is the same as adding $4$: $x - (-4) = x + 4$

Step 2: Distribute the $-\frac{1}{2}$

Now distribute $-\frac{1}{2}$ to both terms inside the parentheses: $-\frac{1}{2}(x + 4) = -\frac{1}{2} \cdot x + (-\frac{1}{2} \cdot 4)$

This gives: $-\frac{1}{2}x - 2$

Final Answer:

The expression simplifies to: $-\frac{1}{2}x - 2$

Would you like more details or have any questions?

Here are some related questions:

1. How do you handle negative signs when distributing in algebra?
2. What is the difference between simplifying expressions and solving equations?
3. How does distribution work with different coefficients?
4. What happens when you distribute across a subtraction?
5. Can you provide examples of similar expressions for practice?

Tip: Always check your signs carefully when distributing, especially when dealing with negatives.