To simplify the expression \(-4(x + 1) - 6\), follow these steps:

1. **Distribute** \(-4\) to both terms inside the parentheses:
   \[
   -4(x + 1) = -4x - 4
   \]
   So the expression becomes:
   \[
   -4x - 4 - 6
   \]

2. **Combine like terms** \(-4\) and \(-6\):
   \[
   -4x - 4 - 6 = -4x - 10
   \]

Thus, the simplified expression is:
\[
-4x - 10
\]

Would you like further explanation or have any questions?

Here are 5 related questions to further practice:
1. Simplify: \( -3(2x + 5) + 7 \)
2. Expand: \( 5(x - 4) \)
3. Solve for \(x\): \( -4(x + 2) = 8 \)
4. Factor: \( -6x - 12 \)
5. Combine like terms: \( 3x - 4x + 5 \)

**Tip**: Always distribute the number outside the parentheses before combining like terms!

Learn how to simplify the algebraic expression -4(x + 1) - 6 using the distributive property and combining like terms. This problem covers essential concepts in algebra, including distribution and simplification, making it suitable for students in Grades 6-8.

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