If entropy always increases then why do things naturally move

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If entropy always increases then why do things naturally move to the most stable energy level? The most stable energy level does not always mean the highest entropy such as how atoms of chlorine will eventually react with atoms of hydrogen to form hydrogen chloride. This hydrogen chloride formed has less entropy than the free hydrogen and chlorine atoms. Another example would be self-organizing units such as crystals. When liquid water loses enough thermal energy through IR emissions, the water molecules will then self-arrange into a hexagonal pattern and thus lowering the entropy. How can this be???