Solve for all 4-tuples (x1, x2, x3, x4) simultaneously satisfying the following equations:
8x1 −9x2 −2x3 −5x4 = 100
9x1 +6x2 −6x3 +9x4 = 60
−3x1 −9x2 +4x3 −2x4 = −52
−7x2 +8x3 +8x4 = −135
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