Methods for separating liquids, such as oils from solids, such as drill cuttings, apply a centrifuge to process a solids-enriched output of a fluids/solid separation device. The centrifuge may be a horizontal decanter-type centrifuge. The output may be heated. In example implementations the centrifuge has a bowl angle of four degrees or less and a low fluid depth of two inches or less. The fluids/solids separation device may comprise a shale shaker and/or a main centrifuge for example. The output material may have a relatively high initial solids content, such as 50% or more.