Let's simplify the left side of the equation first:

4 + 5 - 1 + 6 (5x - 3)
9 + 6 (5x - 3)
9 + 30x - 18
30x - 9

Now simplify the right side of the equation:

1.2 * (4x-1) - 15.1
4.8x - 1.2 - 15.1
4.8x - 16.3

Now we have the simplified equation:

30x - 9 = 4.8x - 16.3

Now we can solve for x:

30x - 9 = 4.8x - 16.3
30x - 4.8x = -16.3 + 9
25.2x = -7.3
x = -7.3 / 25.2
x ≈ -0.28968

So the solution to the equation is x ≈ -0.28968.