Firstly, simplify the expressions inside the brackets:

[X+7-4 [x+3]] = X+7-4x-12 = -3x-5

[x+19-8 [x+3]] = x+19-8x-24 = -7x-5

Now substitute the simplified expressions back into the original inequality:

(-3x-5) + (-7x-5) > 6

-3x - 5 - 7x - 5 > 6

-10x - 10 > 6

-10x > 16

x < -1.6

Therefore, the solution to the inequality is x < -1.6.