To simplify the expression \( 4(3x - 7) \), you can distribute the 4:
\[ 4(3x) - 4(7) = 12x - 28 \]
So the correct answer is:
\(-12x + 28\)
(Note: This last option is not correct, as it looks similar but is different in sign in front of the 12x term. The correct simplified form is \(12x - 28\)).
If you meant to find the expression as a result of distribution only, the final answer is:
12x - 28. However, if we compare it with the choices listed:
-12x + 28 (not correct) -1x - 11 (not correct) -12x - 28 (not correct) 12x + 24 (not correct)
No option matches the result of \(12x - 28\).