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Simplifying 0 = x + -1(5 + 3i) * x + -1(5 + -3i) Reorder the terms for easier multiplication: 0 = x + -1x(5 + 3i) + -1(5 + -3i) 0 = x + (5 * -1x + 3i * -1x) + -1(5 + -3i) Reorder the terms: 0 = x + (-3ix + -5x) + -1(5 + -3i) 0 = x + (-3ix + -5x) + -1(5 + -3i) 0 = x + -3ix + -5x + (5 * -1 + -3i * -1) 0 = x + -3ix + -5x + (-5 + 3i) Reorder the terms: 0 = -5 + 3i + -3ix + x + -5x Combine like terms: x + -5x = -4x 0 = -5 + 3i + -3ix + -4x Solving 0 = -5 + 3i + -3ix + -4x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 0 + -3i = -5 + 3i + -3ix + -3i + -4x Remove the zero: -3i = -5 + 3i + -3ix + -3i + -4x Reorder the terms: -3i = -5 + 3i + -3i + -3ix + -4x Combine like terms: 3i + -3i = 0 -3i = -5 + 0 + -3ix + -4x -3i = -5 + -3ix + -4x Add '3ix' to each side of the equation. -3i + 3ix = -5 + -3ix + 3ix + -4x Combine like terms: -3ix + 3ix = 0 -3i + 3ix = -5 + 0 + -4x -3i + 3ix = -5 + -4x Reorder the terms: 5 + -3i + 3ix + 4x = -5 + -4x + 5 + 4x Reorder the terms: 5 + -3i + 3ix + 4x = -5 + 5 + -4x + 4x Combine like terms: -5 + 5 = 0 5 + -3i + 3ix + 4x = 0 + -4x + 4x 5 + -3i + 3ix + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 5 + -3i + 3ix + 4x = 0 The solution to this equation could not be determined.
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