Representative Colin Allred noted that although many Texans have gotten their power back, food and water shortages continue to be issues.
Denver is projected to get between 1 and 3 inches of snow, while areas west of the city are expected to see 6 to 12 inches.
Winter weather advisories have been issued in parts of Ohio, Michigan as well as Indiana, where a travel advisory is also in place across several counties.
Among the fatalities included a police officer and a firefighter in Lubbock, Texas.
The Big Apple was hit with an intense burst of heavy snowfall which saw the city covered by a cloud of snow as an Arctic blast moves to the Northeast.
Large parts of California, including around Los Angeles and the San Francisco Bay Area, warned of heavy rain, snowfall, strong winds and potential flooding forecast for this weekend.
More than 200 schools across New Jersey, Connecticut, Albany and other parts of the New England area are closed following severe disruption from the winter storm that hit the Northeast this weekend.
Travel plans over the Thanksgiving period will be heavily affected by two major storm systems poised to sweep across the nation, moving through the West, the Midwest and the South.
A winter storm warning is in effect across Central and Western New York with a cold front bringing record cold temperatures and snowfall of more than 12 inches in some parts of the region.
"People in the Northeast can breathe a sigh of relief that this will not become a nor'easter," said Dr. Greg Postel, a hurricane and storm specialist at The Weather Channel.
This map clearly shows just how much temperatures are diverging from the average for this time of year.
Cold air mixed with the relatively warm waters of the Great Lakes to produce 'cloud streets.'
Forecasters warned of the worst cold in two decades from another arctic front this week.
Snow-bound residents of western New York awoke to as much as another foot of accumulation on Thursday with possibly another 30 inches expected, meteorologists said.