First, distribute the numbers on each side of the equation:

6(7x-11) = 42x - 66
-13(x-6) = -13x + 78
14(2x+1) = 28x + 14

Now substitute these back into the original equation:

42x - 66 - 13x + 78 = 28x + 14

Combine like terms:

29x + 12 = 28x + 14

Subtract 28x from both sides:

x + 12 = 14

Subtract 12 from both sides:

x = 2

So the solution to the equation is x = 2.