To solve for x, we can first distribute the 2 to both terms inside the parentheses:

0.2(4x) + 0.2(0.7) - 4.15 = 5.59

Next, multiply 0.2 by 4x and 0.2 by 0.7:

0.8x + 0.14 - 4.15 = 5.59

Combine like terms:

0.8x - 4.01 = 5.59

Add 4.01 to both sides of the equation:

0.8x = 9.6

Divide by 0.8 to solve for x:

x = 9.6 / 0.8

x = 12

Therefore, the solution to the equation is x = 12.