2 + 22 - 2 + 4 - 7 + 55 - 6*6 + 3
= 2 + 4 - 2 + 4 - 7 + 25 - 36 + 3
= 6 - 2 + 4 - 7 + 25 - 36 + 3
= 4 + 4 - 7 + 25 - 36 + 3
= 8 - 7 + 25 - 36 + 3
= 1 + 25 - 36 + 3
= 26 - 36 + 3
= -10 + 3
= -7

Therefore, 2 + 22 - 2 + 4 - 7 + 55 - 6*6 + 3 = -7.