Combine/Converting many parallel lines to one single line using ModelBuilder of ArcMap

The tool that I would try on this data is Integrate:

Analyzes the coordinate locations of feature vertices among features in one or more feature classes. Those that fall within a specified distance of one another are assumed to represent the same location and are assigned a common coordinate value (in other words, they are colocated). The tool also adds vertices where feature vertices are within the x,y tolerance of an edge and where line segments intersect.