The given expression is:

$-\frac{3}{4}(8x - 10)$

To simplify this expression, distribute $-\frac{3}{4}$ across the terms inside the parentheses:

$-\frac{3}{4}(8x) + -\frac{3}{4}(-10)$

Step-by-step:

1. Distribute $-\frac{3}{4}$ to $8x$: $-\frac{3}{4} \cdot 8x = -6x$

2. Distribute $-\frac{3}{4}$ to $-10$: $-\frac{3}{4} \cdot -10 = \frac{30}{4} = 7.5$

Thus, the simplified expression is:

$-6x + 7.5$

Would you like a deeper explanation of the steps or further applications? Here are related questions:

1. How do you handle similar expressions with different fractions?
2. Can this expression be used to solve for a specific value of $x$?
3. How does distributing a negative fraction affect the signs of terms inside the parentheses?
4. What are common mistakes when simplifying fractional expressions like this one?
5. Can you graph this linear expression for $x$ values?

Tip: Always distribute the fraction carefully, ensuring proper multiplication of both the numerator and denominator.