To multiply -2x by the expression (-5x² + 3x² - 8x + 7), we can use the distributive property:
-2x (-5x² + 3x² - 8x + 7)
= (-2x)×(-5x²) + (-2x)×(3x²) + (-2x)×(-8x) + (-2x)×(7)
= 10x³ - 6x³ + 16x² - 14x
Therefore, the product is:
10x³ - 6x³ + 16x² - 14x
= 4x³ + 16x² - 14x
So the final answer is 4x³ + 16x² - 14x.