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To simplify the expression \((14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)\), we can follow these steps:
1. **Combine like terms:**
- Combine the \(x^2\) terms: \(14x^2 + 0.75x^2\)
- Combine the \(x\) terms: \(-3x + 2x\)
- Combine the constant terms: \(2.25 - 14\)
2. **Perform the calculations:**
- For the \(x^2\) terms:
\[
14x^2 + 0.75x^2 = 14.75x^2
\]
- For the \(x\) terms:
\[
-3x + 2x = -1x \quad \text{or simply } -x
\]
- For the constant terms:
\[
2.25 - 14 = 2.25 - 14 = -11.75
\]
3. **Combine all simplified parts:**
Putting it all together, we have:
\[
14.75x^2 - x - 11.75
\]
Thus, the simplified expression is:
\[
\boxed{14.75x^2 - x - 11.75}
\]