Are these expressions equal? 2x + 8x – 9 – 2x and 4x + 4x – 4 + 5 

Let's simplify both expressions to determine if they are equal.

### Simplifying the First Expression:
\[ 2x + 8x - 9 - 2x \]

Combine like terms (the terms with \( x \)):
\[ 2x + 8x - 2x = 8x \]

So, the first expression simplifies to:
\[ 8x - 9 \]

### Simplifying the Second Expression:
\[ 4x + 4x - 4 + 5 \]

Combine like terms (the terms with \( x \)):
\[ 4x + 4x = 8x \]

Combine the constant terms:
\[ -4 + 5 = 1 \]

So, the second expression simplifies to:
\[ 8x + 1 \]

### Conclusion:
- The first expression simplifies to \( 8x - 9 \).
- The second expression simplifies to \( 8x + 1 \).

Since \( 8x - 9 \) is not equal to \( 8x + 1 \), the two expressions are **not equal**.

Would you like more details or have any questions?

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Here are some related questions:
1. How can you verify if two expressions are equivalent?
2. What are the properties of equality?
3. What is the importance of combining like terms in algebraic expressions?
4. How do you solve linear equations involving multiple variables?
5. What is the distributive property in algebra?
6. How do you handle constants when simplifying algebraic expressions?
7. What are the common mistakes to avoid when simplifying expressions?
8. How can algebraic identities help in simplifying expressions?

**Tip:** Always simplify both sides of an equation or expression before comparing them to determine equality.

Explore whether the expressions 2x + 8x - 9 - 2x and 4x + 4x - 4 + 5 are equal through detailed algebraic simplification. Understand how to combine like terms and compare expressions in algebra. Suitable for Grades 7-9.

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