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Ответ:

301. John said he'd like to take me out to dinner.

302. He said that he was going out.

Объяснение:

Правила перевода в косвенную речь (помимо прочих):

• would like не меняется;
• местоимения первого лица переходят в третье лицо (I → (s)he);
• Present Continuous → Past Continuous.

! После tell следует адресат без предлогов: told me, но не told to me.