In a combined solvent extraction/steam distillation process for the separation of aromatic hydrocarbons from a mixture of aromatic and non-aromatic hydrocarbons, there are three major thermal and material cycles: the solvent cycle, the hydrocarbon cycle, and the water cycle. The process is improved by redistributing the energy use between the three cycles to minimize the internal recycle within the process and to reduce the overall energy requirements. One means of the redistribution includes cooling of a lean solvent stream with liquid in a recovery or stripping column. Cooling of the lean solvent reduces flashing within an extract column and the resulting reflux of hydrocarbons to the extract column.