To expand and simplify the expression \( 4(x + 3) \), you need to distribute the 4 across both terms inside the parentheses.

Here’s the step-by-step process:

1. **Distribute the 4:**
   \[
   4(x + 3) = 4 \cdot x + 4 \cdot 3
   \]
   
2. **Simplify each term:**
   \[
   4x + 12
   \]

Thus, the expanded and simplified expression is:
\[
4x + 12
\]

Would you like more details on the steps or have any questions?

Here are 5 related questions you can explore:
1. How would you expand \( 3(x + 5) \)?
2. What is the process to expand and simplify \( 5(2x - 4) \)?
3. How do you factor \( 4x + 12 \) back into a product?
4. Can you expand \( 4(x + y + 3) \)?
5. How would you expand and simplify \( 4(x^2 + 3x + 2) \)?

**Tip:** Always ensure you distribute to every term inside the parentheses when expanding expressions.

Learn how to expand and simplify the expression 4(x + 3) using the distributive property of multiplication. This step-by-step solution demonstrates how to distribute and combine like terms, making it perfect for students in Grades 6-8.

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