The given expression is:

$-4x^2 + (-6) - 2x$

Let's simplify this:

1. Combine the terms as they are, since none of the terms are like terms (they all have different variables or constants):
   • The term $-4x^2$ remains as it is.
   • The constant $-6$ stays unchanged.
   • The linear term $-2x$ also stays as is.

The simplified expression is:

$-4x^2 - 2x - 6$

Would you like further details on how this simplification process works?

Here are five related questions you might find interesting:

1. What does it mean to combine like terms in algebra?
2. How do you factor quadratic expressions like $-4x^2 - 2x - 6$?
3. Can this expression be solved for $x$? If so, how?
4. What is the difference between linear and quadratic terms?
5. How do negative coefficients affect the graph of a quadratic function?

Tip: When simplifying expressions, always look for like terms, which are terms that have the same variables raised to the same power.