Below is a floor plan for a combined living and dining area. The owners of the home have recently adopted a puppy, so the living room needs to be re-carpeted (bad puppy). The total area for both rooms is expressed as LaTeX: 2x^2+x+3 square meters. The tile in the dining room was already replaced, so we know the area of that room is LaTeX: 2x^2-2x square meters. Find an expression for the area that needs to be re-carpeted.