Distribute and simplify the inequality:
1.6(2-x) - 0.4x < 3
3.2 - 1.6x - 0.4x < 3
3.2 - 2x < 3
-2x < -0.2
x > 0.1

Distribute and simplify the inequality:
-3(6x-1) - 2x > x
-18x + 3 - 2x > x
-20x + 3 > x
-20x > -3
x < 0.15

Therefore, the solution to the system of inequalities is:
0.1 < x < 0.15