|7x-7|+3 = 4x+1  ⇒⇒⇒ add (-3) to both sides
∴ |7x-7| = 4x - 2
According to the absolute rule
∴ 7x - 7 = 4x - 2    OR    -(7x - 7) = 4x - 2                                  
    7x - 4x = 7 - 2      l     7x - 7 = -4x + 2                               
   3x = 5                   l     7x + 4x = 2 + 7                                          
  x = 5/3                   l     11 x = 9  ⇒⇒⇒  x = 9/11
∴ x = 5/3  and  9/11
So, the correct answer is option B. 5/3 and 9/11