Solve the following system of simultaneous equations by the Gauss-Jordan method.
5x1 − 2x2 + 6x3 = 0
−2x1 + 4x2 + x3 + 3x4 = 18
6x1 + x2 + 6x3 + 8x4 = −29
3x2 + 8x3 + 7x4 = 11
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