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Simplifying 2x + ix + 5 + -1i = 3i Reorder the terms: 5 + -1i + ix + 2x = 3i Solving 5 + -1i + ix + 2x = 3i 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. 5 + -1i + ix + -3i + 2x = 3i + -3i Reorder the terms: 5 + -1i + -3i + ix + 2x = 3i + -3i Combine like terms: -1i + -3i = -4i 5 + -4i + ix + 2x = 3i + -3i Combine like terms: 3i + -3i = 0 5 + -4i + ix + 2x = 0 Add '-5' to each side of the equation. 5 + -4i + ix + -5 + 2x = 0 + -5 Reorder the terms: 5 + -5 + -4i + ix + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4i + ix + 2x = 0 + -5 -4i + ix + 2x = 0 + -5 Combine like terms: 0 + -5 = -5 -4i + ix + 2x = -5 Add '-2x' to each side of the equation. -4i + ix + 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 -4i + ix + 0 = -5 + -2x -4i + ix = -5 + -2x Reorder the terms: 5 + -4i + ix + 2x = -5 + -2x + 5 + 2x Reorder the terms: 5 + -4i + ix + 2x = -5 + 5 + -2x + 2x Combine like terms: -5 + 5 = 0 5 + -4i + ix + 2x = 0 + -2x + 2x 5 + -4i + ix + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 5 + -4i + ix + 2x = 0 The solution to this equation could not be determined.
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