27x + 14 = 3(9x - 7)

To solve the equation, we need to expand the right side and simplify both sides:

27x + 14 = 3(9x - 7)
27x + 14 = 27x - 21

Now, let's isolate the variable by moving all terms involving x to one side:

27x - 27x = -21 - 14
0x = -35

The equation 0x = -35 means that no matter what value we substitute for x, the left side will always be equal to 0. Therefore, the equation has no solution.