Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

Tagalog sentence: Sa Isang banda, as usual, sinagot ng iba’t-ibang maka-kaliwang grupo ang masaker sa pagtuturo sa sistema ng trapo (traditional politics), na pinapakita ang dominasyon ng mga warlord sa kanilang kinasasakupan.
Various left-wing groups have responded to the Maguindanao massacre by pointing at the system of trapo (traditional politician) politics, which fostered such political bosses’ domination over their fiefdoms.

Tagalog sentence: At kung kaya't sa (= pagtatalaga sa tungkulin) ipakita namin na ang resulta ay pinatunayan sa pamamagitan ng paggamit ng ari-arian 1 at 2 maliban na lamang kung kami ay ang mga sumusunod na pagkakasunod-sunod:
And so on (= induction) we show that the result is proved by using property 1 and 2 unless we have the following sequence:

Tagalog sentence: 5 At nang sila'y nasasa Salamina, ay kanilang ipinangaral ang salita ng Dios sa mga sinagoga ng mga Judio: at kanila namang katulong si Juan.

5 And when they were at Salamis, they preached the word of God in the synagogues of the Jews: and they had also John to their minister.