A hinge cable routing system includes a hinge chassis that includes a first hinge wall and a second hinge wall that is spaced apart from the first hinge wall to define a hinge housing between the first hinge wall and the second hinge wall. A first shaft extends through the hinge housing and out of the hinge chassis. A second shaft extends through the hinge housing and out of the hinge chassis. A cable extends through the hinge housing adjacent the first hinge wall and between the first hinge wall and each of the first shaft and the second shaft such that no portion of the cable that extends through the hinge housing is located between the second hinge wall and either of the first shaft and the second shaft.