To expand this expression, we need to use the distributive property:

(-x-7)(x-2)(4x-3)
=(-x-7)(x)(4x-3) + (-x-7)(-2)(4x-3)
= (-x)(x)(4x) + (-x)(-3) + (-7)(x)(4x) + (-7)(-3) + (-2)(4x) + (-2)(-3)
= -4x^2 -3x -28x^2 + 21 + -8x - 6
= -32x^2 - 11x + 15

Therefore, (-x-7)(x-2)(4x-3) expands to -32x^2 - 11x + 15.