According to the Massachusetts Emergency Management Agency, there were 9,353 customers without power as of around 11:40 a.m. Tuesday. By 11:30 p.m., that number had dropped below 1,400.
There was a major concentration of outages in communities between Boston and Worcester, including Holliston, Dover and Medway.
There were also pockets of outages in the Haverhill area, and in the southeastern Massachusetts communities of Fall River and Dartmouth.
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Areas of the Cape were also hit hard.
Tuesday's storms brought two tornadoes and widespread flooding.