The expression shown in the image is:

$7(x - 2) + 6(x + 1)$

Let’s simplify this step by step:

1. Distribute: $7(x - 2) = 7x - 14$ $6(x + 1) = 6x + 6$

2. Combine the results: $7x - 14 + 6x + 6$

3. Combine like terms: $(7x + 6x) + (-14 + 6) = 13x - 8$

So, the simplified expression is:

$13x - 8$

Would you like further details or have any other questions about this?

Here are five questions you can explore further:

1. How do you apply the distributive property in algebraic expressions?
2. What are like terms, and how do you combine them?
3. What are common mistakes to avoid when simplifying algebraic expressions?
4. How does this simplification change if the signs in the parentheses are reversed?
5. How do you factor the expression back from $13x - 8$?

Tip: Always double-check your distribution when working with expressions involving multiple terms.