You have the following sum of expression:
(-2x^2 - 4x - 12) + (-x^2 - 2x)
In order to find the sum, simplify like terms (terms with the same variable and same exponent). Then, you have:
(-2x^2 - 4x - 12) + (-x^2 - 2x) =
-2x^2 - x^2 - 4x - 2x -12 =
-3x^2 - 6x - 12
Hence, the answer is -3x^2 - 6x - 12