Given State Table

 q |    x=0         x=1   |   x=0      x=1

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 A |     B           D    |    0        0

 B |     E           D    |    1        0

 C |     B           C    |    0        0

 D |     F           A    |    0        0

 E |     A           B    |    1        1

 F |     E           C    |    1        0

 The set of equivalent states are A(A-C-D), B(B-F) and E

 The reduced state table is given below

 q |    x=0         x=1   |   x=0      x=1

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 A |     B           A    |    0        0

 B |     E           A    |    1        0

 E |     A           B    |    1        1