Find all integer solutions of each of the following linear diophantine equations.
a) 2x1 + 5x2 + 4x3 + 3x4 = 5
b) 12x1 + 21x2+ 9x3 + 15x4 = 9
c) 15x1 + 6x2 + 10x3 +21x4 + 35x5 = 1
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