Let's simplify the expression \( 5(5x + 4) - 2(3x - 1) \).

1. Distribute the constants:
   \[
   5(5x + 4) = 25x + 20
   \]
   \[
   -2(3x - 1) = -6x + 2
   \]

2. Now, combine the like terms:
   \[
   (25x - 6x) + (20 + 2) = 19x + 22
   \]

Thus, the simplified expression is:
\[
19x + 22
\]

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. How would the expression change if we used different constants, like \( 7(5x + 4) - 3(3x - 1) \)?
2. Can you simplify \( 4(6x + 3) - 5(2x - 4) \)?
3. What happens if we add another term, such as \( +3x \), to the expression?
4. How would you solve for \( x \) if the simplified expression equals a number, like \( 19x + 22 = 0 \)?
5. Can you factor the simplified expression \( 19x + 22 \)?

**Tip:** Always remember to apply the distributive property first when simplifying expressions.

Learn how to simplify the algebraic expression 5(5x + 4) - 2(3x - 1) step by step. This solution covers the distributive property and combining like terms, essential for students in Grades 6-8.

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