Let's solve the expression step-by-step:

The given expression is:

$-1 - (-4x^3) + 5$

1. First, simplify the double negative:

$-1 + 4x^3 + 5$

2. Now, combine the constants $-1$ and $+5$:

$4x^3 + 4$

So, the simplified expression is:

$4x^3 + 4$

Let me know if you'd like further explanation or have any questions!

Further Questions:

1. How would this expression change if we set $x = 2$?
2. What is the value of $4x^3 + 4$ when $x = -1$?
3. How would you factor the expression $4x^3 + 4$?
4. What happens to the expression if the constant term was negative, like $-4$ instead of $4$?
5. Can you solve for $x$ if this expression equals a specific number?

Tip: When dealing with terms involving powers of a variable, like $x^3$, always prioritize simplifying the constants first, before applying any values for the variable.