A negative-working lithographic printing plate precursor can be imaged with infrared radiation and processed in a single step using a single processing solution having a pH of from about 3 to 11. The precursor has a primary polymeric binder that comprises recurring units derived from one or more N-alkoxymethyl(meth)acrylamides, provided that such recurring units are present in the primary polymeric binder in an amount of at least 10% based on the total dry primary polymeric binder weight. In addition, the primary polymeric binder is present in an amount of from about 12 to about 70% based on total imageable layer dry weight. The imaged precursor can be processed off-press or on-press.