So close everywhere

Find the smallest positive integer which when divided by

  • 9 leaves remainder 8,
  • 8 leaves remainder 7,
  • 7 leaves remainder 6,
  • 6 leaves remainder 5,
  • 5 leaves remainder 4,
  • 4 leaves remainder 3,
  • 3 leaves remainder 2, and
  • 2 leaves remainder 1.
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