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To solve the expression \( 3(2 + 2x) \), distribute the 3 to each term inside the parentheses:

1. Multiply \( 3 \times 2 = 6 \).
2. Multiply \( 3 \times 2x = 6x \).

Putting these together, the expression simplifies to:
\[
6 + 6x
\]

So, the answer is **6 + 6x**.

Would you like further details or have any questions?

Here are some related questions:
1. How do you distribute with more than two terms inside parentheses?
2. What if there is a negative sign before the parentheses?
3. How does distribution work with fractions?
4. Can distribution apply in factoring expressions?
5. What changes if there’s a variable outside the parentheses instead of a number?

**Tip:** When distributing, always make sure to multiply every term inside the parentheses by the term outside.

Learn how to simplify the expression 3(2 + 2x) by using the distributive property of multiplication. This solution covers core algebraic concepts for students in Grades 6-8.

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