[ Arithmetic. Mental calculation, etc.]

The intelligence of the star empire FIG-45 intercepted a secret encrypted message from the hostile planet Medusa: FOOL + BLOW = FIGHT. It is known that different digits are encrypted by different letters, and the same digits by the same letters. Two electronic thinkers took on the task of finding the solution and got two different answers. Could this be possible or should one of them be recycled?
No. The solution is only one: $51286+1582=52868$.