https://file.aiquickdraw.com/mathbot/file/1726190130738lwiegcdg.jpg

The expression provided in the image seems to be:

\[
-2(x + 8) - x^2
\]

We need to evaluate it when \( x = -4 \). Let's compute this step by step:

1. Substitute \( x = -4 \) into the expression:

\[
-2((-4) + 8) - (-4)^2
\]

2. Simplify inside the parentheses:

\[
-2(4) - (-4)^2
\]

3. Compute the terms:

\[
-2 \times 4 = -8
\]
\[
(-4)^2 = 16
\]

4. Now subtract:

\[
-8 - 16 = -24
\]

Thus, the expression evaluates to \( -24 \) when \( x = -4 \).

Would you like further details on any part of this solution?

Here are some related questions:
1. How do you simplify expressions involving negative numbers?
2. What are the rules for squaring negative numbers?
3. How do parentheses affect operations in algebraic expressions?
4. What are common mistakes when simplifying algebraic expressions?
5. Can you generalize the steps for solving this type of problem?

**Tip**: When substituting negative values, be careful with signs, especially with powers and parentheses.

Evaluate the expression -2(x + 8) - x^2 when x = -4.

Learn how to evaluate the algebraic expression -2(x + 8) - x^2 by substituting x = -4. This step-by-step solution involves applying key algebraic concepts and simplifying quadratic terms, suitable for students in Grades 7-9.

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