Let's simplify the expression:

\[
7 - \frac{1}{2}x - \frac{1}{2} + 3x
\]

### Step 1: Combine like terms.

- Combine the constants: \( 7 - \frac{1}{2} \)
- Combine the terms with \( x \): \( -\frac{1}{2}x + 3x \)

### Simplifying:

- Constants: \( 7 - \frac{1}{2} = 6.5 \)
- Variables: \( -\frac{1}{2}x + 3x = \frac{5}{2}x \)

So, the simplified expression is:

\[
6.5 + \frac{5}{2}x
\]

Would you like further explanation or details on any of these steps?

Here are 5 questions to expand on this topic:
1. What are like terms in algebraic expressions?
2. How do you combine terms with variables in algebra?
3. What are constants in algebra, and how are they combined?
4. How do fractions interact with variables in algebraic expressions?
5. Can you explain why the order of operations is important in simplifying expressions?

**Tip:** Always keep track of signs when combining like terms to avoid mistakes.

Learn how to simplify the algebraic expression 7 - 1/2x - 1/2 + 3x step-by-step with detailed explanations. This problem covers algebraic concepts such as combining like terms and fraction operations. Suitable for Grades 7-9.

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