To simplify the expression \( 42 + 12x^2 - 9x^2 + 17 + 4x - 3x^2 \), we can follow these steps:
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Combine like terms:
- Combine the \(x^2\) terms: \(12x^2 - 9x^2 - 3x^2 = (12 - 9 - 3)x^2 = 0x^2\).
- Combine the constant terms: \(42 + 17 = 59\).
- Combine the linear term: There’s only one \(4x\).
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Writing the simplified expression:
- The combined terms yield \(0x^2 + 4x + 59\).
- Since \(0x^2\) is equal to 0, we can omit it.
Thus, the simplified expression is:
\[ 4x + 59 \]