To solve this equation, we will first distribute the 0.3 on the left side of the equation:

0.3(0.4x - 1.2) + 0.36x = 3.4
0.12x - 0.36 + 0.36x = 3.4

Now combine like terms:

0.12x + 0.36x - 0.36 = 3.4
0.48x - 0.36 = 3.4

Add 0.36 to both sides:

0.48x = 3.76

Now, divide by 0.48 to solve for x:

x = 3.76 / 0.48
x ≈ 7.83333333

Therefore, the solution to the equation is x ≈ 7.83333333.