Let’s solve the given expression step by step and confirm the solution.

Problem:

Expand and simplify $8 + 5(2x - 7)$.

Solution:

1. Distribute the 5 to each term inside the parentheses: $5(2x - 7) = 5 \cdot 2x - 5 \cdot 7 = 10x - 35$

2. Substitute this back into the expression: $8 + 10x - 35$

3. Combine like terms (constants): $8 - 35 = -27$

4. Final simplified expression: $10x - 27$

Final Answer:

$10x - 27$

The handwritten solution expanded correctly but didn't combine the constants $8 - 35$. The corrected final expression is $10x - 27$.

Would you like further clarification on any part?

Related Questions:

1. What does "expand" mean in algebraic terms?
2. How can you identify like terms in an expression?
3. What happens if there are no constants to combine after expanding?
4. How do parentheses affect the order of operations?
5. How would the solution change if the equation was $8 + 5(2x + 7)$?

Tip:

When expanding, always distribute carefully and combine like terms at the end for full simplification!