To solve this equation, we need to distribute and simplify each term:

7(6x - 1) = 42x - 7
3(2x + 1) = 6x + 3
5(12x - 7) = 60x - 35

Now, we substitute these simplified terms back into the original equation:

42x - 7 + 6x + 3 - 60x + 35 = 23

Combine like terms:

42x + 6x - 60x - 7 + 3 + 35 = 23
-12x + 31 = 23

Now, isolate the variable x:

-12x = 23 - 31
-12x = -8
x = (-8)/(-12)
x = 2/3

Therefore, the solution to the equation is x = 2/3.