Let's solve the given equation step by step.

The equation is:

\[
-5(1 - 5x) + \% (-8x - 2) = -4x - 8x
\]

It seems like there is a "%" symbol, which is not typically used in algebraic equations. Could you clarify what that symbol is meant to represent? For now, I'll proceed by ignoring it and solving the rest of the equation:

### Step 1: Simplify both sides
On the left-hand side, distribute the \(-5\) across \((1 - 5x)\):

\[
-5(1 - 5x) = -5 + 25x
\]

Now the equation becomes:

\[
-5 + 25x = -4x - 8x
\]

### Step 2: Combine like terms
On the right-hand side, combine \(-4x\) and \(-8x\):

\[
-4x - 8x = -12x
\]

Now the equation is:

\[
-5 + 25x = -12x
\]

### Step 3: Move all terms involving \(x\) to one side
Add \(12x\) to both sides:

\[
-5 + 25x + 12x = 0
\]

This simplifies to:

\[
-5 + 37x = 0
\]

### Step 4: Solve for \(x\)
Add 5 to both sides:

\[
37x = 5
\]

Now, divide both sides by 37:

\[
x = \frac{5}{37}
\]

### Final answer:
\[
x = \frac{5}{37}
\]

Let me know if you need further clarification, or if the "%" symbol was intended to represent something else.

Would you like more details or have any other questions? Here are 5 related questions to explore:

1. How do you distribute terms in algebraic expressions?
2. What is the process of combining like terms?
3. How do you isolate variables in an equation?
4. What methods can be used to check if an equation is solved correctly?
5. How do you handle equations with multiple variables?

**Tip:** Always simplify both sides of the equation as much as possible before solving for the variable.

Step-by-step solution to solve the linear equation -5(1-5x) = -4x - 8x. This problem involves key algebraic concepts such as distribution, combining like terms, and solving for x. Suitable for students in Grades 8-10.

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