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Oil prices fell on Tuesday, relinquishing some of the strong gains of the previous two sessions with the market cautious ahead of U.S. inflation figures for April, which will be key to the Federal Reserve's next interest rate decision.

Both contracts had settled up more than 2% in the previous trading session.

Supporting oil prices, the Canadian province of Alberta declared a state of emergency over the weekend in response to wildfires that have displaced nearly 30,000 people and prompted energy producers to shut in at least 280,000 barrels of oil equivalent per day, more than 3% of Canada's output.

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