The machinations of Murdoch are widely assumed to include deals with sitting and wannabe PMs, but proving this is notoriously difficult. It's hardly in the interests of either to admit to this.
The pattern of incredible access to government, PM and ministers, of Murdoch and his minions under the Tory government was eventually revealed through journalistic investigation and Freedom of Information Act requests that were very reluctantly acceded to by that same government.
Now we have one former minister detailing how the News International chief Rebecca Brooks bluntly told him she was running government policy in partnership with PM Cameron, with the appointment of (later jailed) Murdoch man David Coulson as Press Secretary part of the deal.
A note of caution though: this is as filtered through the notionally centre-left Guardian (many of whose readers firmly disagree with that description so set up an alternative, actually left-wing Guardian online!)
Ken Clarke: Tories had deal with Rupert Murdoch for 2010 election https://www.theguardian.com/politics/2017/nov/23/ken-clarke-cameron-had-deal-with-murdoch-for-2010-election?CMP=Share_AndroidApp_Blogger