The given expression is:
$2(4x - 4) + 4(3x + 3)$

Step-by-step simplification:

1. Expand each term using the distributive property: $2(4x - 4) = 2 \cdot 4x - 2 \cdot 4 = 8x - 8$ $4(3x + 3) = 4 \cdot 3x + 4 \cdot 3 = 12x + 12$

2. Combine the expanded terms: $(8x - 8) + (12x + 12)$

3. Group like terms (combine $x$-terms and constants): $8x + 12x = 20x$ $-8 + 12 = 4$

4. Final simplified expression: $20x + 4$

Final Answer:

$20x + 4$

Would you like a detailed explanation of any step, or do you have additional questions?

Here are five related questions to deepen your understanding:

1. How does the distributive property work in algebra?
2. What is the importance of combining like terms?
3. Can you factor $20x + 4$ to its simplest form?
4. How would this expression change if one of the terms had subtraction instead of addition?
5. What are some real-life applications of simplifying expressions?

Tip:

Always simplify expressions step by step to avoid missing small mistakes, especially when dealing with multiple terms.