The statement that best explains how the details in the passage develop the central idea that people in power use deceit to control others is:
The details show how Squealer turns unpleasant truths into persuasive lies to control the animals.
This statement captures the essence of Squealer's manipulation of language and facts to justify the pigs' actions and maintain control over the other animals. He frames the pigs' consumption of milk and apples as a necessity for the greater good, even though it primarily serves to benefit the pigs' privileged position.