First, let's simplify the expression step by step:

(5/14 + 10/21) = (15/42 + 20/42) = 35/42

(35/42) x 18/10 = (35/42) x (9/5) = 315/210 = 3/2

7/6 / (13/22 - 25/33) = 7/6 / ((1333 - 2522) / (22*33)) = 7/6 / (429 - 550) / 726 = 7/6 / -121 / 726 = 7/6 x -726/121 = -726/ 726 = -1

Now, the final expression is:
(5/14 + 10/21) x 18/10 + 7/6 / (13/22-25/33) = 3/2 + (-1) = 3/2 - 2/2 = 1/2.

So the final answer is 1/2.