To solve this equation, we will first distribute the terms inside the parentheses on the left side of the equation:

4(0.7x) - 4(0.3) - 5(0.2x) + 5(0.6) = -3.8 - x

Next, simplify the equation by performing the multiplications:

2.8x - 1.2 - x + 3 - 1x = -3.8 - x

Combine like terms:

2.8x - x - x - 1.2 + 3 = -3.8 - x

Simplify further:

0.8x - 1.2 + 3 = -3.8 - x

0.8x + 1.8 = -3.8 - x

Now, eliminate fractions by multiplying the entire equation by 10 to get rid of the decimals:

8x + 18 = -38 - 10x

Next, combine like terms:

8x + 10x = -38 - 18

18x = -56

Now, divide by 18 to solve for x:

x = -56/18
x = -3.11 (rounded to two decimal places)

Therefore, the solution to the equation is x = -3.11.