Which expression is equivalent to - 3x - (x-1) + 3/2 (3x + 3) ?

A. 1/2x + 11/2

B. 1/2x + 7/2

c. 5/2x + 11/2

D. 5/2x + 7/2

The answer to your question is letter A

Step-by-step explanation:

Expression

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

1. - Expand

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

2. - Simplify

- 3x - x + 1 + 9/2 x + 9/2

3. - Associate like terms

(-3x - x + 9/2x) + (1 + 9/2)

4. - Simplify like terms

(-4x + 9/2x) + (2 + 9) / 2

(-8x + 9x) / 2 + 11/2

1/2x + 11/2