To simplify the expression:

\[
8 + \frac{3x}{6} + 3x - \frac{4}{4}
\]

We'll break it down step by step.

1. Simplify each fraction:
   - \(\frac{3x}{6} = \frac{x}{2}\)
   - \(\frac{4}{4} = 1\)

The expression now becomes:

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

2. Combine like terms:
   - \(8 - 1 = 7\)

The expression is now:

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

3. To combine \(\frac{x}{2}\) and \(3x\), express them with a common denominator (2):

\[
\frac{x}{2} + \frac{6x}{2} = \frac{7x}{2}
\]

The final simplified expression is:

\[
7 + \frac{7x}{2}
\]

Let me know if you need more details or further clarification!

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Here are 5 related questions to expand your understanding:

1. How do you find the least common denominator when adding fractions?
2. How can you simplify an expression with variables and constants combined?
3. What are like terms, and how do you combine them?
4. How do you handle variables when they appear in fractions?
5. Can you factor out terms from the simplified expression?

**Tip:** Always simplify fractions and combine like terms step by step to avoid errors!

Learn how to simplify the expression 8 + (3x/6) + 3x - (4/4) step-by-step. This problem involves algebraic manipulation, fractions, and combining like terms. Suitable for students in Grades 7-9.

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