From the image, the equation involves solving a linear equation step by step while applying specific properties such as the distributive property and operations on both sides of the equation. Here's how to complete the solution process step by step:

Equation:

$-10(-8x - 7) - 20x = 10$

Step-by-Step Solution:

1. Apply the Distributive Property: Expand $-10(-8x - 7)$: $80x + 70 - 20x = 10$

2. Combine Like Terms: Combine $80x$ and $-20x$: $60x + 70 = 10$

3. Isolate the $x$-term: Subtract 70 from both sides: $60x = -60$

4. Solve for $x$: Divide both sides by 60: $x = -1$

Final Answer:

$x = -1$

Would you like more details about any step or clarifications?

Related Questions:

1. What is the distributive property and why is it used in solving equations?
2. How do you identify like terms in an equation?
3. What is the significance of balancing both sides of an equation?
4. How do you handle negative coefficients while solving equations?
5. What should you check after solving a linear equation to verify the solution?

Tip:

Always substitute your solution back into the original equation to verify its correctness.