Let's simplify the expression:

\[
-2 + 7x + 9 + (-10x)
\]

### Step-by-step:
1. Combine the constant terms: \(-2 + 9 = 7\).
2. Combine the variable terms: \(7x + (-10x) = -3x\).

So the simplified expression becomes:

\[
7 - 3x
\]

Would you like further explanation on any step or additional details?

Here are five related questions to extend your understanding:
1. How would you solve the equation if this expression were set equal to zero?
2. What happens to the result if you change the signs of the terms involving \(x\)?
3. Can you factor the expression \(7 - 3x\)?
4. How would you represent this expression on a graph?
5. How does this expression change if \(x = 0\)?

**Tip:** Always combine like terms (constants with constants and variables with variables) when simplifying algebraic expressions.

Learn how to simplify the algebraic expression -2 + 7x + 9 + (-10x) with a clear step-by-step solution. This guide covers key algebraic concepts such as combining like terms and simplifying variables. Perfect for students in Grades 6-8.

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