Let's simplify the expression:

\[
7x - 9x - 15 + 12x
\]

Combine the like terms involving \(x\):

\[
(7x - 9x + 12x) - 15
\]

Calculate the coefficients:

\[
(7 - 9 + 12)x - 15 = 10x - 15
\]

So, the simplified form of the expression is:

\[
\boxed{10x - 15}
\]

Would you like more details or have any questions?

Here are some related questions to explore:
1. How do you solve an equation with multiple terms?
2. What are like terms, and why are they combined in algebra?
3. How do you factor expressions like \(10x - 15\)?
4. What is the process of simplifying more complex algebraic expressions?
5. How can you solve for \(x\) if this expression is set equal to a number?

**Tip:** Always look for like terms in an expression to simplify it easily!

Simplify the linear expression 7x - 9x - 15 + 12x by combining like terms. This step-by-step guide demonstrates key algebraic concepts such as simplifying expressions with variables, perfect for Grades 6-8 students learning basic algebra.

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