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Let's simplify the given expression:

\[
(5x - 2 + 3x^2) + (4x + 3)
\]

### Step-by-step solution:
1. **Remove parentheses** (since we're adding the terms, they remain unchanged):
   \[
   5x - 2 + 3x^2 + 4x + 3
   \]
2. **Combine like terms**:
   - Combine \(x^2\) terms: There's only \(3x^2\), so it remains.
   - Combine \(x\) terms: \(5x + 4x = 9x\).
   - Combine constant terms: \(-2 + 3 = 1\).

Thus, the simplified expression is:
\[
3x^2 + 9x + 1
\]

The correct answer is: **\(3x^2 + 9x + 1\)**.

Would you like further details or explanations?

### Here are 5 questions to expand on this concept:
1. How do you identify like terms in an expression?
2. What happens when you subtract polynomials instead of adding them?
3. How would you simplify if the expression involved a negative sign between the terms?
4. How do higher-degree terms (e.g., \(x^3\) or \(x^4\)) affect the simplification process?
5. Can you simplify the expression if variables with different powers appear in it?

**Tip:** Always arrange terms in descending order of their powers (e.g., \(x^2, x, \text{constant}\)) to maintain a standard form!

Learn how to simplify the polynomial expression (5x - 2 + 3x^2) + (4x + 3). This problem covers algebraic concepts such as combining like terms and simplifying polynomials. Suitable for students in Grades 7-9.

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