https://file.aiquickdraw.com/mathbot/file/1725493936574blrsfzfg.jpg

The equation in the image is:

\[
3.75x - 5 - 8.75x + 4.5 + 0.5
\]

Let's simplify this expression step by step:

1. **Combine the like terms with \(x\):**
   \[
   3.75x - 8.75x = -5x
   \]

2. **Combine the constant terms:**
   \[
   -5 + 4.5 + 0.5 = 0
   \]

So, the simplified expression is:

\[
-5x
\]

This means the expression reduces to just \(-5x\).

Would you like more details or have any further questions?

Here are five related questions you might find interesting:
1. What happens to the equation if you set \(x = 1\)?
2. How does the expression change if a different constant is added?
3. What if there were additional terms with different variables?
4. How would you factorize \(-5x\)?
5. How can this expression be represented graphically?

**Tip:** When simplifying expressions, always look for like terms (terms with the same variable and exponent) to combine them easily.

Simplify the algebraic expression: 3.75x - 5 - 8.75x + 4.5 + 0.5

Learn how to simplify the algebraic expression 3.75x - 5 - 8.75x + 4.5 + 0.5 by combining like terms. This problem helps to strengthen understanding of basic algebraic concepts such as variable terms and constant terms. Suitable for Grades 7-8.

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