To simplify $3(x + 6)$ using the distributive property, you need to multiply each term inside the parentheses by 3. Here's how it's done:

$3(x + 6) = 3 \cdot x + 3 \cdot 6$

Now perform the multiplications:

$3x + 18$

So, the simplified expression is:

$3x + 18$

Would you like a detailed explanation of the distributive property or have any questions on this process?

Here are 5 related questions to explore:

1. How do you apply the distributive property with negative numbers?
2. What happens when we distribute with a fraction, like $\frac{1}{2}(x + 4)$?
3. Can you simplify expressions like $4(x - 2) + 3(x + 5)$?
4. How do you factor expressions using the distributive property?
5. What is the connection between the distributive property and factoring polynomials?

Tip: The distributive property is a powerful tool for simplifying expressions and can also be helpful when solving equations!