The expression you provided is:

\[
-4x - \frac{3}{8x^3} - 2x + \frac{6}{8x^3}
\]

Let’s simplify this step by step.

1. Combine like terms involving \(x\).
   \[
   -4x - 2x = -6x
   \]

2. Now, combine the fractional terms that have the same denominator:
   \[
   -\frac{3}{8x^3} + \frac{6}{8x^3} = \frac{-3 + 6}{8x^3} = \frac{3}{8x^3}
   \]

Putting it all together, the simplified expression is:

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

Would you like more details on how to combine these terms or ask any questions?

Here are 5 related questions to deepen your understanding:
1. How do you simplify expressions involving variables and fractions?
2. What are common rules for adding and subtracting fractions?
3. Can you describe how to combine like terms in an algebraic expression?
4. How would you factor this expression further, if possible?
5. What is the domain of the simplified expression?

**Tip:** When simplifying expressions with fractions, always look for common denominators before combining terms.

This guide explains how to simplify the algebraic expression -4x - 3/8x^3 - 2x + 6/8x^3 by combining like terms and fractions. The solution is suitable for Grades 9-10 students studying algebraic simplification, and it walks through key steps in handling variables and fractions.

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