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