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

First, let's simplify the expression inside the parentheses:

(6.x - 39) / 3

Next, let's distribute the division by 3 to both terms inside the parentheses:

(6/3)x - 39/3

Simplifying further:

2x - 13

Now, let's substitute this simplified expression back into the original equation:

[(2x - 13) * 28] = 5628

Next, let's simplify the expression inside the brackets:

56x - 364 = 5628

Now, let's isolate the variable x by moving the constant term to the other side of the equation:

56x = 5628 + 364

56x = 5992

Finally, let's solve for x by dividing both sides of the equation by 56:

x = 5992 / 56

x = 107