x1, x2, x3, x4, x5, x6, x7, x8 satisfy the system of equations:
x1 + x2 + x3 = 6,
x2 + x3 + x4 = 9,
x3 + x4 + x5 = 3,
x4 + x5 + x6 = −3,
x5 + x6 + x7 = −9,
x6 + x7 + x8 = −6,
x7 + x8 + x1 = −2,
x8 + x1 + x2 = 2
The value of the product x1.x2.x3.x4.x5.x6.x7.x8 =
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56160 is the correct answer
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