Let's simplify the equation step by step:

25x - 17 = 4x + 25 - 16x - 12 - 6x

Combine like terms on both sides of the equation:

25x - 17 = 4x - 16x - 6x + 25 - 12

25x - 17 = -18x + 13

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

25x + 18x = 13 + 17

43x = 30

Finally, solve for x by dividing both sides by 43:

x = 30 / 43

Therefore, x = 30/43 is the solution to the equation.