Let's simplify the expression \((17x - 9) - (8 - 3x)\):

1. Distribute the negative sign through the second parentheses:
\[
(17x - 9) - 8 + 3x
\]

2. Combine like terms:
\[
17x + 3x - 9 - 8 = 20x - 17
\]

The simplified expression is:
\[
20x - 17
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you simplify expressions with multiple variables?
2. How do you factor linear expressions?
3. What is the distributive property and how is it applied?
4. How do you solve equations after simplifying them?
5. What happens when there are no like terms in an expression?

**Tip:** Always combine like terms (terms with the same variable) after distributing, to simplify the expression efficiently.

Discover how to simplify the algebraic expression (17x - 9) - (8 - 3x) with a step-by-step breakdown. Learn to apply the distributive property and combine like terms. This guide is perfect for students in Grades 7-8.

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