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!

Learn how to solve the linear equation -5(1-5x)+5(-8x-2)=-4x-8x with a detailed step-by-step solution. This problem covers key algebraic concepts such as the distributive property and combining like terms. Suitable for students in Grades 7-8.

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