Let's simplify the expression:

\[
\left(x - 2\right) - \left(-2x^2 - 3x - 4\right)
\]

### Step-by-step solution:
1. **Distribute the negative sign** over the second set of parentheses:
   \[
   = x - 2 + 2x^2 + 3x + 4
   \]

2. **Combine like terms**:
   - For \(x\), we have \(x + 3x = 4x\).
   - The constant terms are \(-2 + 4 = 2\).

Thus, the simplified expression is:

\[
2x^2 + 4x + 2
\]

Would you like more details on this or have any questions?

### Related questions:
1. How do you simplify an expression with multiple parentheses?
2. What are like terms, and how do you identify them?
3. Can you always distribute negative signs directly to all terms in an expression?
4. How would this process change if there were exponents inside the parentheses?
5. How do you factor a quadratic expression like the one we simplified?

**Tip**: Always watch for negative signs when distributing across parentheses; they can easily change the sign of every term inside!

Learn how to simplify the polynomial expression (x - 2) - (-2x^2 - 3x - 4) using the distributive property and combining like terms. This algebra problem is ideal for students in Grades 7-9.

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