Solve the following system of linear equations. Justify your answer. x₁ + x₂ + x3 + x4 = 5, -2x1 + 3x2 + 7x3 x4 = 0, 2x1 + 5x2 + 4x3 + x2 = 2, 3x12x2 + x3 + x4 = 5.

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