To solve this equation, we need to follow the order of operations (PEMDAS/BODMAS).

First, we simplify the expression within the parentheses:
(4x + 5) ÷ 3 - 121 ÷ 11 = 4

Next, we perform the division:
(4x + 5) ÷ 3 - 11 = 4

Now, we multiply both sides of the equation by 3 to eliminate the fraction:
3 * [(4x + 5) ÷ 3 - 11] = 3 * 4
(4x + 5) - 33 = 12

Simplifying further:
4x + 5 - 33 = 12
4x - 28 = 12

Next, we add 28 to both sides of the equation to isolate the variable:
4x - 28 + 28 = 12 + 28
4x = 40

Finally, we divide both sides of the equation by 4 to solve for x:
4x/4 = 40/4
x = 10

Therefore, the solution to the equation is x = 10.