Let's simplify the expression step by step.

Given expression:  
\[ 5(1 - 4x) + 2x - 40 \]

1. **Distribute the 5**:  
   \[ 5 \times 1 - 5 \times 4x = 5 - 20x \]  
   So the expression becomes:  
   \[ 5 - 20x + 2x - 40 \]

2. **Combine like terms**:  
   \[ -20x + 2x = -18x \]  
   \[ 5 - 40 = -35 \]  
   So the expression simplifies to:  
   \[ -18x - 35 \]

The simplified expression is:  
\[ -18x - 35 \]

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. How would the expression change if you multiplied everything by a negative number?
2. What would happen if you substituted \( x = 2 \) into the original expression?
3. Can you factor the simplified expression further?
4. What is the effect of adding a constant to the original equation?
5. How would the expression change if you replaced \( x \) with \( x^2 \)?

**Tip:** Always distribute and combine like terms systematically to avoid errors when simplifying algebraic expressions.

Learn how to simplify the algebraic expression 5(1 - 4x) + 2x - 40 with a detailed step-by-step solution. This problem covers key algebraic concepts, including simplifying expressions and combining like terms. Suitable for students in Grades 7-9.

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