To simplify the expression \( 4x^2 - 12x + 244x \), first combine the like terms.
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Combine the \( -12x \) and \( 244x \): \[ -12x + 244x = (244 - 12)x = 232x \]
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Now the expression becomes: \[ 4x^2 + 232x \]
Thus, the simplified expression is: \[ \boxed{4x^2 + 232x} \]