To simplify the given expression \(3.75x - 5 - 8.75x + 4.5 + 0.5\), we can follow these steps:

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

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

Putting it all together, we get:
\[ -5x + 0 = -5x \]

So, the simplified form of the expression is:
\[ -5x \]

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Here are some related questions for further practice:
1. Simplify the expression \(4.2x + 1.8 - 3.2x - 2.7\).
2. Simplify the expression \(7x - 3 - 2x + 5\).
3. Simplify the expression \(6.5x - 2.5x + 4.75 - 3.25\).
4. Simplify the expression \(12x - 6 - 3x + 9\).
5. Simplify the expression \(5.5x - 2.5 + 1.5x - 1\).

**Tip:** Always group and combine like terms (variables with variables and constants with constants) to simplify algebraic expressions.

Discover how to simplify the algebraic expression 3.75x - 5 - 8.75x + 4.5 + 0.5 by combining like terms. This problem covers key algebraic concepts and is suitable for students in Grades 6-8. Follow a step-by-step guide to simplify the expression to -5x.

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