A decision will be made today on whether four A&E units will close.
Despite huge opposition, the departments in Ealing, Central Middlesex, Charing Cross and Hammersmith hospitals could be downgraded to urgent care centres.
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London Underground's offer was conditional on unions responding by 6.30pm tonight.
Luke Gutteridge was taken to court after dropping a piece of fruit the size of a 10 pence coin.
The offer includes a 2% rise this year and £2,000 for drivers on the new all-night service.