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The problem asks for the difference when \( (2x + 4) \) is subtracted from \( (4x + 2) \), and the result should be in its simplest form.

We can express the subtraction as follows:

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

Now, let's simplify it step by step:

1. Distribute the negative sign across the second expression:
   \[
   (4x + 2) - (2x + 4) = 4x + 2 - 2x - 4
   \]

2. Combine like terms:
   \[
   (4x - 2x) + (2 - 4) = 2x - 2
   \]

So, the simplest form of the expression is:

\[
2x - 2
\]

If you have any further questions or would like more details, let me know! Here are five related questions to explore:

1. How do you factor the expression \( 2x - 2 \)?
2. What happens if you reverse the order of subtraction?
3. Can you solve \( 2x - 2 = 0 \) for \( x \)?
4. What is the difference between subtracting polynomials and adding them?
5. How would this problem change if there were higher powers of \( x \)?

**Tip:** Always distribute negative signs carefully when subtracting one expression from another.

Find an expression which represents the difference when (2x + 4) is subtracted from (4x + 2) in simplest terms.

This problem teaches how to subtract and simplify algebraic expressions by finding the difference when (2x + 4) is subtracted from (4x + 2). The solution is explained in simple steps, making it ideal for students in Grades 7-9.

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