Help me with this question please, explain why u choose that answer and show ur steps

Let’s condense the original expression and see if that’s one of the answers

-1/2(-3/2 x + 6x + 1) - 3x

First we distribute the -1/2

((-1/2)(-3/2 x) + (-1/2)(6x) + (-1/2)(1)) -3x

3/4x - 3x - 1/2 -3x

Combine like terms

(3/4 x - 3x - 3x) -1/2

-21/4 x - 1/2

We could make this a mixed number

-5 1/4 x - 1/2

(Mixed number: 5 times 4 plus one gets the numerator)

So the answer is D