The given expression is:

\[
x - 2 - 2x^2 - 3x - 4
\]

Let's simplify it step by step:

1. Combine like terms:
   - Terms involving \(x^2\): \(-2x^2\)
   - Terms involving \(x\): \(x - 3x = -2x\)
   - Constant terms: \(-2 - 4 = -6\)

Now, the simplified expression is:

\[
-2x^2 - 2x - 6
\]

Would you like further details on any part of the process or have any specific questions?

Here are five related questions:
1. How do you factor a quadratic expression like \(-2x^2 - 2x - 6\)?
2. What is the role of like terms in simplifying algebraic expressions?
3. How can you solve the equation \(-2x^2 - 2x - 6 = 0\)?
4. What are the rules for combining terms with different powers of \(x\)?
5. How does this expression relate to the general form of a quadratic equation?

**Tip:** Always group similar terms to simplify expressions quickly and efficiently.

This page simplifies the algebraic expression x - 2 - 2x^2 - 3x - 4 step by step by combining like terms. Learn key algebraic concepts, including simplifying quadratic expressions, suitable for students in Grades 7-9.

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