Let's distribute the terms on the right side of the equation:

0.8(6x-1) = 4.8x - 0.8
-3.2(x+2) = -3.2x - 6

Now substitute the distributed terms back into the equation:

4.8x - 0.8 - 3.2x - 6 + 1 = 1.6

Combine like terms:

4.8x - 3.2x - 0.8 - 6 + 1 = 1.6
1.6x - 5.8 = 1.6

Add 5.8 to both sides:

1.6x = 7.4

Divide by 1.6:

x = 4.625

Therefore, the value of x that satisfies the equation is x = 4.625.