Find the least positive four-digit solution to the following system of congruences.
7x = 21 (mod 14)
2x + 18 = 16 (mod 9)
x = 3 (mod 14)
2x = -2 (mod 9)
x = -1 (mod 9)
x = 8 (mod 9)
x = 17
x = 17 + 14*9*a, where a is an integer.
Find the least positive four-digit solution.
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