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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:
1. **Cubic terms:**
\[
2x^3 + 5x^3 = 7x^3
\]
2. **Quadratic terms:**
\[
-7x^2 - 9x^2 = -16x^2
\]
3. **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:
\[
\boxed{7x^3 - 16x^2 - 5x}
\]