פּירוש אויף בראשית 14:17

עמק שוה THE VALLEY OF SHAVEH— So was its name; but the Targum translates it, “to the empty plain” — clear of trees and all impediments.

ויצא מלך סדום, the King of Sodom now emerged from the pits in which he had hidden. He is mentioned by name, as the whole war had revolved around him, he having been the one who had refused to pay taxes to Kedorleomer. (Genesis 14,15) He had been the ringleader of the five rebellious kings.

ויצא...אל עמק שוה, this was a spot reserved for horse racing as it was a flat piece of land without hills or depressions. The reason it was also called עמק המלך, valley of the king, was that the king and his riders used it as a training ground for their race horses. Onkelos translates it as למישר מפונא, meaning that this plain was free from obstacles such as stones, tree stumps, etc. He translates the words עמק המלך as בית ריסא דמלכא, describing the size of the 180 cubits, the distances over which horses raced.

עמק המלך THE KINGS VALE Onkelos translates it by the king’s race-course: a hippodrome that was thirty “kona” (measuring rods) and was set apart for the king’s sport. The Midrashic explanation is that it was the valley where all the nations unanimously agreed (הושוו) in appointing Abraham as prince and leader over them (Genesis Rabbah 43:5).