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Simplifying (2 + -3i)(x + i) = 17 + -6i Reorder the terms: (2 + -3i)(i + x) = 17 + -6i Multiply (2 + -3i) * (i + x) (2(i + x) + -3i * (i + x)) = 17 + -6i ((i * 2 + x * 2) + -3i * (i + x)) = 17 + -6i ((2i + 2x) + -3i * (i + x)) = 17 + -6i (2i + 2x + (i * -3i + x * -3i)) = 17 + -6i Reorder the terms: (2i + 2x + (-3ix + -3i2)) = 17 + -6i (2i + 2x + (-3ix + -3i2)) = 17 + -6i Reorder the terms: (2i + -3ix + -3i2 + 2x) = 17 + -6i (2i + -3ix + -3i2 + 2x) = 17 + -6i Solving 2i + -3ix + -3i2 + 2x = 17 + -6i Solving for variable 'i'. Reorder the terms: -17 + 2i + 6i + -3ix + -3i2 + 2x = 17 + -6i + -17 + 6i Combine like terms: 2i + 6i = 8i -17 + 8i + -3ix + -3i2 + 2x = 17 + -6i + -17 + 6i Reorder the terms: -17 + 8i + -3ix + -3i2 + 2x = 17 + -17 + -6i + 6i Combine like terms: 17 + -17 = 0 -17 + 8i + -3ix + -3i2 + 2x = 0 + -6i + 6i -17 + 8i + -3ix + -3i2 + 2x = -6i + 6i Combine like terms: -6i + 6i = 0 -17 + 8i + -3ix + -3i2 + 2x = 0 The solution to this equation could not be determined.
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