To solve this problem, we will simplify the expression according to the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

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

2 : 7 = 2/7

Now, let's simplify the division:

0.18 : (1 x (2/7)) = 0.18 / (1 x 2/7) = 0.18 / 2/7 = 0.18 7/2 = 0.18 3.5 = 0.63

Finally, let's simplify the multiplication:

1.2 x (5/6) = 1.2 5/6 = 0.2 5 = 1

Now, we can calculate the final result:

1 - 0.63 = 0.37

Therefore, 1.2 x (5/6) - 0.18 : (1 x (2/7)) is equal to 0.37.