Let's simplify the given expression step by step:

The expression is:

$2(-4x) + 5(2y) - x$

1. Distribute the constants inside the parentheses: $2(-4x) = -8x$ $5(2y) = 10y$

Now the expression becomes:

$-8x + 10y - x$

2. Combine like terms: $-8x - x = -9x$

Thus, the simplified expression is:

$-9x + 10y$

Would you like more details or have any further questions?

Here are 5 questions to consider next:

1. How would the expression change if different values were substituted for $x$ and $y$?
2. What if the sign of one of the terms were different, how would that affect the outcome?
3. How would this expression look if both $x$ and $y$ were positive integers?
4. Can this expression be factored further?
5. What happens when you add another variable term to the expression?

Tip: Always combine like terms (same variables raised to the same power) to simplify algebraic expressions efficiently.