A wedge lock clamping assembly, system and method wherein the module to be clamped in a slot in a chassis has a pair of wedge surfaces oppositely inclined to spaced-apart side surfaces of the slot. The clamping assembly comprises a pair of wedge elements on opposite sides of a movement axis and each wedge element is configured to be disposed within the slot between a respective wedge surface of the module and a respective side surface of the slot. An actuator operates to forcibly urge the wedge elements along the movement axis for causing the wedge elements to be wedged between the respective wedge surfaces of the module and respective side surfaces of the slot for clamping the module in the slot. A toggle is interposed between the wedge elements and the actuator for equalizing the force acting on each wedge element such that the wedge elements will move axially relative to one another to accommodate any difference in gap widths between the wedge surfaces of the module and side surfaces of the slots thereby to minimize any lateral shifting of the module relative to the slot while still securing clamping the module in the slot.