Let's solve the equation:

\[
-2x - 3(8x - 7) + 1 = -4
\]

### Step 1: Expand the parentheses
Distribute \(-3\) across \((8x - 7)\):

\[
-2x - 3(8x) + 3(7) + 1 = -4
\]

This simplifies to:

\[
-2x - 24x + 21 + 1 = -4
\]

### Step 2: Combine like terms
Now, combine the terms involving \(x\) and the constants:

\[
(-2x - 24x) + (21 + 1) = -4
\]

Simplifying:

\[
-26x + 22 = -4
\]

### Step 3: Move the constant to the other side
Subtract 22 from both sides:

\[
-26x = -4 - 22
\]

Simplifying the right-hand side:

\[
-26x = -26
\]

### Step 4: Solve for \(x\)
Divide both sides by \(-26\):

\[
x = \frac{-26}{-26} = 1
\]

### Final Answer:
\[
x = 1
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. Solve: \(3x - 5(2x - 4) = 7\)
2. Solve: \(4x + 2(5x - 1) = 10\)
3. Solve: \(-7x - 4(3x + 5) = 12\)
4. Solve: \(-5x + 8(2x - 3) = -6\)
5. Solve: \(6x - 3(4x - 9) + 2 = 0\)

**Tip:** Always simplify equations by distributing and combining like terms before isolating the variable.

This page walks through solving the linear equation -2x - 3(8x - 7) + 1 = -4 step by step. Learn how to apply the distributive property and combine like terms to find the solution x = 1. Suitable for Grades 6-8 algebra students.

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