https://file.aiquickdraw.com/mathbot/file/172624888581324xz93zu.jpg

The expression shown in the image is:

\[
-3x - 9 + 15x
\]

To simplify this expression, we combine like terms. The terms involving \(x\) are \(-3x\) and \(15x\). The constant term is \(-9\).

1. Combine the \(x\) terms:

\[
-3x + 15x = 12x
\]

2. The expression now becomes:

\[
12x - 9
\]

So, the simplified form of the expression is:

\[
\boxed{12x - 9}
\]

Would you like more details, or do you have any questions? 

### Here are 5 related questions to explore further:
1. How would you solve the equation if the expression \(12x - 9\) was set equal to zero?
2. What happens if the expression includes more terms, like \(5 + 12x - 9\)?
3. How do you factor the expression \(12x - 9\)?
4. What is the derivative of the expression \(12x - 9\) with respect to \(x\)?
5. How would the solution change if the variable \(x\) had a given value, such as \(x = 2\)?

### Tip:
When combining like terms in algebraic expressions, remember to pay attention to the signs (positive or negative) of each term.

Simplify the algebraic expression: -3x - 9 + 15x.

Learn how to simplify the algebraic expression -3x - 9 + 15x by combining like terms. This guide provides a step-by-step solution to understand how terms with the same variable are combined to simplify expressions, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation