Which expression is equivalent to 2x + 3x + 6 − 122x + 3x + 6 − 12?

Select **TWO** correct answers.

A.5x − 65x − 6

B.5x + 6 − 125x + 6 − 12

C.5x + 65x + 6

D.5x − 125x − 12

E.x − 6x − 6


Let's simplify the given expression step-by-step:

The original expression is:  
\[
2x + 3x + 6 - 12
\]

### Step 1: Combine like terms
- \(2x + 3x = 5x\)
- \(6 - 12 = -6\)

Thus, the simplified form is:
\[
5x - 6
\]

### Now let's compare with the given answer choices.

- **A. \(5x - 6\)**: This is correct!  
- **B. \(5x + 6 - 12\)**: This simplifies to \(5x - 6\), so this is also correct!
- **C. \(5x + 6\)**: This is incorrect.  
- **D. \(5x - 12\)**: This is incorrect.  
- **E. \(x - 6\)**: This is incorrect.

### **Correct Answers**:
- **A. \(5x - 6\)**  
- **B. \(5x + 6 - 12\)**

Would you like any further clarifications? 

---

Here are five follow-up questions:  
1. What are like terms, and how do you combine them?  
2. Can you explain the difference between positive and negative constants in simplification?  
3. How do parentheses change the way terms are combined?  
4. How can this knowledge help solve algebraic equations?  
5. How would the process change if variables had exponents?

**Tip**: Always double-check for arithmetic or sign errors when simplifying expressions.

Which expression is equivalent to 2x + 3x + 6 − 12? Select TWO correct answers.

A. 5x − 6
B. 5x + 6 − 12
C. 5x + 6
D. 5x − 12
E. x − 6

Find out how to simplify the expression 2x + 3x + 6 - 12 and identify equivalent expressions from multiple-choice options. This problem emphasizes combining like terms and understanding constants, suitable for Grades 6-8.

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