Let's solve the expression \( 9(4x - 2) - 23x + 35 \).

### Step 1: Distribute the 9
Apply the distributive property to expand \( 9(4x - 2) \):
\[
9(4x) - 9(2) = 36x - 18
\]
Now the expression becomes:
\[
36x - 18 - 23x + 35
\]

### Step 2: Combine like terms
Now, combine the terms with \( x \) and the constants:
- \( 36x - 23x = 13x \)
- \( -18 + 35 = 17 \)

Thus, the simplified expression is:
\[
13x + 17
\]

So, the final simplified form is \( 13x + 17 \).

Would you like a detailed explanation of the steps, or do you have any further questions?

Here are five related questions to explore:
1. How would the result change if \( -23x \) were instead \( -25x \)?
2. What happens if you substitute \( x = 2 \) into the simplified expression?
3. How can you factor the expression \( 13x + 17 \) if needed?
4. How would the process change if there was a division instead of multiplication at the beginning?
5. What if you had an additional term, like \( +5x \), at the end?

**Tip:** Always apply the distributive property first when simplifying algebraic expressions involving parentheses.

Learn how to simplify the algebraic expression 9(4x - 2) - 23x + 35 step-by-step. This problem involves applying the distributive property and combining like terms. Suitable for students in Grades 7-9.

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