The expression \(8x + 12\) can be simplified by factoring out the greatest common factor (GCF) of both terms.

1. The GCF of \(8x\) and \(12\) is \(4\).
2. Factoring out \(4\), we get:

\[
8x + 12 = 4(2x + 3)
\]

The simplified form of the expression is \(4(2x + 3)\).

Would you like further details on factoring or any other questions?

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1. How do you find the greatest common factor (GCF) of two numbers?
2. What does it mean to factor an expression?
3. How would the expression \(8x + 12\) change if it were an equation (e.g., \(8x + 12 = 0\))?
4. Can you simplify an expression with more than one variable (e.g., \(8x + 12y\))?
5. What are the steps to simplify more complex expressions?

**Tip:** Factoring can simplify solving equations, making it easier to isolate and solve for variables.

Explore how to simplify the algebraic expression 8x + 12 by factoring out the greatest common factor (GCF). This step-by-step solution is suitable for students in Grades 6-8 and covers core algebraic concepts.

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