To solve for x, we will use the distributive property to simplify the equation:
-4(2x - 11) = 12
-8x + 44 = 12
Next, we will subtract 44 from both sides of the equation to isolate the term with x:
-8x + 44 - 44 = 12 - 44
-8x = -32
Finally, we will divide both sides of the equation by -8 to solve for x:
-8x / -8 = -32 / -8
x = 4
Therefore, the solution is x = 4.