To solve the equations:

1) 4x - 11 = x + 1

Combine like terms:
4x - x = 11 + 1
3x = 12
Divide by 3:
x = 4

2) (1/6)x + 3 = x

Multiply by 6 to clear the fraction:
x + 18 = 6x
Subtract x from both sides:
18 = 5x
Divide by 5:
x = 3.6

3) (1/x) + 2 = 0.7/4.2

To simplify the right side of the equation:
0.7/4.2 = 0.16667

Substitute back into the equation and solve:
(1/x) + 2 = 0.16667
(1/x) = 0.16667 - 2
(1/x) = -1.83333
x = 1/(-1.83333)
x ≈ -0.5455

So, the solutions to the equations are:
x = 4, x = 3.6, x ≈ -0.5455