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Simplifying 2ix + -5 + 3i = (3 + -1I) * x + I Reorder the terms: -5 + 3i + 2ix = (3 + -1I) * x + I Reorder the terms for easier multiplication: -5 + 3i + 2ix = x(3 + -1I) + I -5 + 3i + 2ix = (3 * x + -1I * x) + I -5 + 3i + 2ix = (3x + -1xI) + I Reorder the terms: -5 + 3i + 2ix = I + 3x + -1xI Solving -5 + 3i + 2ix = I + 3x + -1xI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3i + 5 + 2ix = I + 3x + 5 + -1xI Reorder the terms: -5 + 5 + 3i + 2ix = I + 3x + 5 + -1xI Combine like terms: -5 + 5 = 0 0 + 3i + 2ix = I + 3x + 5 + -1xI 3i + 2ix = I + 3x + 5 + -1xI Reorder the terms: 3i + 2ix = 5 + I + 3x + -1xI Reorder the terms: -5 + -1I + 3i + 2ix + -3x + xI = 5 + I + 3x + -1xI + -5 + -1I + -3x + xI Reorder the terms: -5 + -1I + 3i + 2ix + -3x + xI = 5 + -5 + I + -1I + 3x + -3x + -1xI + xI Combine like terms: 5 + -5 = 0 -5 + -1I + 3i + 2ix + -3x + xI = 0 + I + -1I + 3x + -3x + -1xI + xI -5 + -1I + 3i + 2ix + -3x + xI = I + -1I + 3x + -3x + -1xI + xI Combine like terms: I + -1I = 0 -5 + -1I + 3i + 2ix + -3x + xI = 0 + 3x + -3x + -1xI + xI -5 + -1I + 3i + 2ix + -3x + xI = 3x + -3x + -1xI + xI Combine like terms: 3x + -3x = 0 -5 + -1I + 3i + 2ix + -3x + xI = 0 + -1xI + xI -5 + -1I + 3i + 2ix + -3x + xI = -1xI + xI Combine like terms: -1xI + xI = 0 -5 + -1I + 3i + 2ix + -3x + xI = 0 The solution to this equation could not be determined.
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