The correct equivalent expression is option 4: -36x + 9.
Let's simplify the expression -12(3x - 3/4):
-12(3x - 3/4) = -12 * 3x + (-12) * (-3/4)
= -36x + 9
So, the expression is equivalent to -36x + 9.
Among the given options:
-35x - 8
-36x + 8
-36x - 9
-36x + 9
The correct equivalent expression is option 4: -36x + 9.