Final answer:
The equation -|-x| = -12 does not have a solution because the expression -|-x| cannot be negative. As such, the solution set for this equation is None of the above.
Step-by-step explanation:
The question seeks to find the solution set for the equation -|-x| = -12. Since the absolute value of any number is non-negative, the only way for -|-x| to equal a negative number is if the value inside the absolute value is zero. So, -|0| equals -0, which is 0. However, no other value of x will satisfy the equation because absolute values can't be negative, and thus there can't be a negative sign outside without making the equation false.
Therefore, there are no real solution sets that satisfy the equation, meaning that the correct answer for the solution set is simply None of the above. The other options provided, like {-12} or {-12, 12}, don't satisfy the original equation because absolute values don't yield negative results.