PokerStars - 25/50 Ante 6 NL - Holdem - 9 players
Hand converted by PokerTracker 4

SB: 69.5 BB (VPIP: 23.53, PFR: 17.65, 3Bet Preflop: 0.00, Hands: 17)
Hero (BB): 43.36 BB
UTG: 28.4 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 16)
UTG+1: 57.34 BB (VPIP: 13.29, PFR: 13.17, 3Bet Preflop: 1.43, Hands: 175)
MP: 33.74 BB (VPIP: 25.24, PFR: 12.62, 3Bet Preflop: 4.26, Hands: 104)
MP+1: 52.12 BB (VPIP: 25.00, PFR: 18.75, 3Bet Preflop: 12.50, Hands: 16)
MP+2: 51.74 BB (VPIP: 18.02, PFR: 15.32, 3Bet Preflop: 9.30, Hands: 113)
CO: 86.84 BB (VPIP: 20.00, PFR: 15.00, 3Bet Preflop: 25.00, Hands: 21)
BTN: 61.86 BB (VPIP: 18.07, PFR: 8.64, 3Bet Preflop: 2.70, Hands: 84)

9 players post ante of 0.12 BB, SB posts SB 0.5 BB, Hero posts BB 1 BB

Pre Flop: (pot: 2.58 BB) Hero has T K

fold, fold, fold, MP+1 raises to 2 BB, fold, fold, fold, fold, Hero calls 1 BB

Flop: (5.58 BB, 2 players) 8 T 7
Hero checks, MP+1 bets 2.62 BB, Hero raises to 7.72 BB, MP+1 calls 5.1 BB

Turn: (21.02 BB, 2 players) 7
Hero bets 11 BB, MP+1 raises to 42.28 BB and is all-in, Hero ???

What is your plan, when you are raising? What is your raising range OTF? If you don't know answers to these questions, then x/r is not a good idea. Anyway i would just called OTF, then reevaluate OTT, if another 7 would i would x/c again, as played without any info on the villain, i would fold to his shove, cause we have a lot of better hands in our range with which we can call this shove.

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C-c flop.

Min raise from that position smells all connected hands. He has a lot of 7s in his range.
I would play x-c flop and play check call depending his bet size. If no info, fold is right in my opinion.

x/c flop you're almost never correct x/r top pair by itself

I understand it may be obvious to many, but could you explain in more detail why x/c is better than x/r here?

One argument against that is getting value from many combos (QT, JT, Q9, K9 plus flush draws and weaker pairs) and in general to deny equity for high cards (AJ-AK, KQ). All of these are cbetting the flop as a semi bluff and there are not that many better hands in his range.

Equity-wise it seems that x/r is getting more value, so there must be another reason why x/r is considered worse here.

Can anyone post a more detailed analysis?

When you have TP in a spot like this you extract the most value by using it as a bluff-catcher and letting villain bet into you with weaker hands. A x/r risks folding out many hands you beat, either now or on the turn. That's why the best approach is usually to x/r a polarized range on the flop but x/c with decent value hands.

checked this in Piosolver and it shows x/c flop