To solve the equation, we need to combine like terms and then isolate the variable x.

Given equation: 27.5x + x + 71.5x = 25.7

Combine like terms:
27.5x + x + 71.5x = 25.7
(27.5 + 1 + 71.5)x = 25.7
100x = 25.7

Now, isolate x by dividing both sides by 100:
x = 25.7 / 100
x = 0.257

Therefore, the solution to the equation is x = 0.257.