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Go to Settings, tapSettings; Tap on general, usage, musicGeneral > Usage > Music, then swipe across all musicAll Music and tap the delete button that appeared.
That should delete all your local music.
Go to Settings, tap on general, usage, music, then swipe across all music and tap delete. That should delete all your local music.
Go to Settings; Tap on General > Usage > Music, then swipe across All Music and tap the delete button that appeared.