Determine whether the set of four equations in three unknowns can be solved: x 1 + x

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Determine whether the set of four equations in three unknowns can be solved:
x1 + x2 + x3 = 12,
4x1 + 2x2 + 8x3 = 52,
3x1 + 3x2 + x3 = 25,
2x1 + x2 + 4x3 = 26.

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