As soon as he min-reraised me PF, I knew he had aces. I had to call preflop, but would have folded the flop if the king hadn't showed.

PokerStars No-Limit Hold'em Tourney, Big Blind is t50 (4 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG (t945)
Hero (t1715)
SB (t8500)
BB (t2340)

Preflop: Hero is Button with K, K.
1 fold, Hero raises to t200, SB raises to t350, 1 fold, Hero calls t150.

Flop: (t750) 8, 7, K (2 players)
SB checks, Hero bets t350, SB raises to t4600, Hero calls t1015 (All-In).

Turn: (t6715) 7 (2 players, 1 all-in)

River: (t6715) 2 (2 players, 1 all-in)

Final Pot: t3480

Results in white below:
Hero has Ks Kc (full house, kings full of sevens).
SB has Ah Ac (two pair, aces and sevens).
Outcome: Hero wins t3480. SB wins t3235.