To simplify the polynomial \((2x^3 - 7x^2 + 4x) - (9x - 5x^3 + 9x^2)\), we first distribute the negative sign across the second set of parentheses:
\[ (2x^3 - 7x^2 + 4x) - 9x + 5x^3 - 9x^2 \]
Next, we can combine like terms. We will group the terms by their degree:
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Cubic terms: \[ 2x^3 + 5x^3 = 7x^3 \]
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Quadratic terms: \[ -7x^2 - 9x^2 = -16x^2 \]
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Linear terms: \[ 4x - 9x = -5x \]
Now we can combine all these results to get the simplified polynomial:
\[ 7x^3 - 16x^2 - 5x \]
Thus, the polynomial in standard form is:
\[ \boxed{7x^3 - 16x^2 - 5x} \]