Answer:
x = 22.
Step-by-step explanation:
6x ≡ 7(mod 25)
6x ≡ 25n + 7 where x and n are integers.
Checking multiples of 25:
25: (n= 1) 25+7 = 32. 6*5 = 2 (mod 25) . Does not fit.
50, 75 , 100 do not fit either.
The answer is 22 because 6*22 = 132 = 125 + 7 = 7(mod 25).