To solve this equation, we first simplify the expression inside the parentheses:

3 1/2 = 7/2

(7/2 + (2/5 2/5)) x + 3/18 = 5/18

(7/2 + 4/25) * x + 3/18 = 5/18

(35/10 + 4/25) * x + 3/18 = 5/18

(875/250 + 40/250) * x + 3/18 = 5/18

(915/250) * x + 3/18 = 5/18

3.66 * x + 3/18 = 5/18

Now, we can solve for x:

3.66x + 0.1667 = 0.2778

3.66x = 0.1111

x = 0.1111 / 3.66

x = 0.03037

Therefore, the solution to the equation is x = 0.03037.