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Note: X must be > 0 to work correctly.

F(S, x) = S + (1 + x) + x[(4S + 2) + 1 + (2S + 1)].
F(S, x) = S + x + 1 + x[(3(2s + 1) + 1]
F(S, x) = S + x + 1 + x[(6S + 3) + 1]
F(S, x) = S + x + 1 + (6sx + 3x + x]
F(S, x) = S + 2x + 1 + 6Sx + 3x
F(S, x) = S + 5x + 6Sx + 1

F(S, x) = S + 1 + x(4s + 4) + 1 + (x – 1)(2S + 1)
F(S, x) = S + 1 + 4sx + 4x + 1 + 2sx + x - 2S - 1
F(S, x) = S + 1 + 6Sx + 5x - 2S
F(S, x) = 6Sx + 5x + 1 - S

F(S, x) = S + (1 + x) + x[(4S + 4) + 1 + (2S + 1)]
F(S, x) = S + 1 + x + x(4S + 4) + x + x(2S + 1)
F(S, x) = S + 1 + x + 4Sx + 4x + x + 2Sx + x
F(S, x) = S + 1 + 7x + 6Sx

F(S, x) = S + 1 + x(4S + 2) + 1 + (x-1)(2S + 1)
F(S, x) = S + 1 + 4Sx + 2x + 1 + 2Sx + x - 2S - 1
F(S, x) = -S + 6Sx + 3x + 1
F(S, x) = 6Sx + 3x + 1 - S

(6n - 1) functions:
F(S, x) = S + 5x + 6Sx + 1
F(S, x) = 6Sx + 5x + 1 - S

(6n + 1) functions:
F(S, x) = S + 1 + 7x + 6Sx
F(S, x) = 6Sx + 3x + 1 - S

Rewritten:

(6n - 1) function:
F(S, x) = 6Sx + 5x + S + 1
F(S, x) = 6Sx + 5x - S + 1

(6n + 1) function:
F(S, x) = 6Sx + 7x + S + 1
F(S, x) = 6sx + 3x - S + 1