Simplify:

To simplify, we will proceed as follows:

(x3 − 2x2 + 5x − 7)(2x − 3)

$=2 x\left(x^{3}-2 x^{2}+5 x-7\right)-3\left(x^{3}-2 x^{2}+5 x-7\right)$

$=2 x^{4}-4 x^{3}+10 x^{2}-14 x-3 x^{3}+6 x^{2}-15 x+21$

$=2 x^{4}-4 x^{3}-3 x^{3}+10 x^{2}+6 x^{2}-14 x-15 x+21 \quad$ (Rearranging)

$=2 x^{4}-7 x^{3}+16 x^{2}-29 x+21$          (Combining like terms)

Thus, the answer is $2 x^{4}-7 x^{3}+16 x^{2}-29 x+21$.