https://file.aiquickdraw.com/mathbot/file/1728656406017gn6eb3k6.jpg

The expression in the image is:

\[
-7x - 12 + x - 9 + 6x
\]

Let's simplify it step by step.

1. **Combine like terms** (terms with \(x\) and constants):
   - For \(x\)-terms: \(-7x + x + 6x = ( -7 + 1 + 6 ) x = 0x\)
   - For constant terms: \(-12 - 9 = -21\)

Thus, the simplified expression is:

\[
-21
\]

Let me know if you'd like more details or have questions about this.

Here are five questions related to this:
1. How do you combine like terms in an algebraic expression?
2. What are the steps to simplify an expression with variables and constants?
3. Can an expression simplify to just a constant? Why or why not?
4. How would this change if the terms had different variables, like \(y\) or \(z\)?
5. What happens when all variable terms cancel each other out?

**Tip:** Always group terms with similar variables together before simplifying expressions.

Learn how to simplify the expression -7x - 12 + x - 9 + 6x. This problem covers key algebraic concepts such as combining like terms and simplifying expressions. Suitable for students in Grades 7-8.

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