Let's simplify the given expression:

\[
-1 \times \left(\frac{5}{8}\right) \times x \times \left(\frac{4}{5}\right)
\]

Step 1: Multiply the constants:
\[
-1 \times \frac{5}{8} \times \frac{4}{5}
\]

Step 2: Multiply the numerators and the denominators:
\[
\frac{5 \times 4}{8 \times 5} = \frac{20}{40}
\]

Step 3: Simplify \(\frac{20}{40}\):
\[
\frac{20}{40} = \frac{1}{2}
\]

So, the expression simplifies to:
\[
-\frac{1}{2}x
\]

The simplified expression is:
\[
-\frac{1}{2}x
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you multiply fractions in algebraic expressions?
2. What are the steps to simplify an algebraic expression with fractions?
3. How do negative numbers affect multiplication?
4. How can you solve for \(x\) in linear equations?
5. What are some real-world applications of multiplying fractions?

**Tip**: When multiplying fractions, always simplify the result by canceling common factors from the numerator and denominator.

Explore the step-by-step solution for simplifying the expression -1(5/8)x(4/5). This problem covers key concepts like multiplication of fractions, algebraic expressions, and handling negative numbers. Ideal for students in Grades 6-8.

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