Let's solve the equation step by step:

$-5(1 - 5x) + 5(-8x - 2) = -4x - 8x$

Step 1: Distribute the terms on the left side.

Distribute $-5$ and $5$ across the parentheses.

$-5(1) + (-5)(-5x) + 5(-8x) + 5(-2) = -4x - 8x$

Simplify the terms:

$-5 + 25x - 40x - 10 = -4x - 8x$

Step 2: Combine like terms.

On the left side, combine the constant terms and the $x$-terms:

$(-5 - 10) + (25x - 40x) = (-4x - 8x)$

This simplifies to:

$-15 - 15x = -12x$

Step 3: Move the variables to one side.

Add $15x$ to both sides:

$-15 = -12x + 15x$

Simplify:

$-15 = 3x$

Step 4: Solve for $x$.

Divide both sides by 3:

$x = \frac{-15}{3} = -5$

Final Answer:

$x = -5$

Would you like further clarification, or any additional details?

Here are 5 related questions for practice:

1. Solve $3(2x - 4) = 2(3x - 1)$.
2. What happens if $x$ is on both sides of the equation?
3. Solve $7x - 3(2x + 5) = 4 - 6x$.
4. How do you solve equations with fractions?
5. What does it mean for an equation to have no solution?

Tip: Always simplify the equation as much as possible before moving variables across the equals sign!