Let's simplify both expressions.

### Expression 1: \(-3(7x + 11)\)
Distribute \(-3\) to both terms inside the parentheses:
\[
-3 \times 7x = -21x
\]
\[
-3 \times 11 = -33
\]
So, the simplified expression is:
\[
-21x - 33
\]

### Expression 2: \(2(2x - 4)\)
Distribute \(2\) to both terms inside the parentheses:
\[
2 \times 2x = 4x
\]
\[
2 \times -4 = -8
\]
So, the simplified expression is:
\[
4x - 8
\]

### Final Simplified Expressions:
1. \(-21x - 33\)
2. \(4x - 8\)

Would you like more details or have any questions about this? Here are some related questions:

1. How do you solve equations involving these types of expressions?
2. What happens if you set these two expressions equal to each other?
3. How do you factor expressions like \(4x - 8\)?
4. What are common mistakes to avoid when simplifying expressions?
5. How can these expressions be used in a real-world context?

**Tip:** Always distribute multiplication over addition or subtraction carefully, keeping track of positive and negative signs.

Learn how to simplify the algebraic expressions -3(7x + 11) and 2(2x - 4) using the distributive property. This step-by-step guide is ideal for students in Grades 6-8, covering key algebraic concepts.

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