Let's simplify the expression:

\[
-2x + 2(4x + 2)
\]

1. Distribute the \(2\) to both terms inside the parentheses:

\[
-2x + (2 \cdot 4x) + (2 \cdot 2)
\]

\[
-2x + 8x + 4
\]

2. Combine like terms:

\[
(-2x + 8x) + 4 = 6x + 4
\]

So, the simplified expression is:

\[
6x + 4
\]

Would you like any further details or have any questions?

Here are 5 related questions:
1. How would you solve \(6x + 4 = 0\) for \(x\)?
2. What happens if you substitute a value for \(x\) in the simplified expression?
3. Can you factor the expression \(6x + 4\)?
4. How does the distributive property apply to the original equation?
5. How would the solution change if the original expression were \(-2x - 2(4x + 2)\)?

**Tip**: Always check for like terms after distributing to simplify expressions quickly!

Learn how to simplify the algebraic expression -2x + 2(4x + 2) by applying the distributive property and combining like terms. This problem highlights key algebra concepts and is suitable for students in Grades 7-9.

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