To simplify the expression \(-3x + \frac{8}{3}x\), you can factor out \(x\) from both terms:

\[
-3x + \frac{8}{3}x = x\left(-3 + \frac{8}{3}\right)
\]

Next, convert \(-3\) to a fraction with a denominator of 3:

\[
-3 = \frac{-9}{3}
\]

Now combine the fractions:

\[
-3 + \frac{8}{3} = \frac{-9 + 8}{3} = \frac{-1}{3}
\]

Thus, the expression simplifies to:

\[
x \left(\frac{-1}{3}\right) = -\frac{1}{3}x
\]

If you need any further clarification or have questions, feel free to ask!

### Questions for Further Exploration:
1. How would you solve for \(x\) if the expression equals zero?
2. Can you graph the simplified expression \(-\frac{1}{3}x\)?
3. What would happen if you added another term, say \(2x\), to the original expression?
4. How can you apply this expression in a real-world scenario?
5. What are some common mistakes to avoid when simplifying similar expressions?

**Tip:** Always combine like terms carefully to avoid errors when simplifying algebraic expressions.

Discover how to simplify the expression -3x + 8/3x step-by-step. This guide covers key algebraic concepts such as factoring and combining like terms, making it suitable for students in Grades 7-9.

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