Let's simplify the expression $(8x - 5) + (-2x + 7)$.

1. First, group like terms: $(8x - 2x) + (-5 + 7)$

2. Simplify each part: $8x - 2x = 6x$ $-5 + 7 = 2$

3. The simplified expression is: $6x + 2$

Thus, $(8x - 5) + (-2x + 7)$ simplifies to $6x + 2$.

Would you like more details on any step? Here are 5 related questions you might want to explore:

1. How do you combine like terms in algebraic expressions?
2. What is the importance of parentheses in algebraic simplification?
3. Can the expression $6x + 2$ be factored further?
4. What are common mistakes to avoid when simplifying algebraic expressions?
5. How does this example relate to solving linear equations?

Tip: When combining like terms, ensure you match both the variable part and the exponent to group them correctly.