To solve this, we need to first simplify the expression within the parentheses and then perform the division.

First, simplify the expression within the parentheses:
-25/47 = -25/47
-2 2/9 = -20/9

Now, perform the division:
(-25/47) / (-20/9) = (-25/47) * (-9/20)
= 225/940
= 45/188

Therefore, X - ( -25/47 : -2 2/9 ) = X - 45/188 = -13.6

To solve for X, we can rearrange the equation:
X - 45/188 = -13.6
X = -13.6 + 45/188
X = -13.6 + 0.2394
X = -13.3606

Therefore, the value of X is -13.3606.