U.S. ADP private payrolls data for May is due at 8:15 am ET Thursday. Ahead of the data, the greenback traded mixed against its major counterparts. While it held steady against the franc, it fell against the rest of major rivals.

The greenback was worth 129.63 against the yen, 1.0694 against the euro, 1.2554 against the pound and 0.9600 against the franc at 8:10 am ET.

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