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Simplifying 3x + 2(y + xi) = 5 + -6i Reorder the terms: 3x + 2(ix + y) = 5 + -6i 3x + (ix * 2 + y * 2) = 5 + -6i 3x + (2ix + 2y) = 5 + -6i Reorder the terms: 2ix + 3x + 2y = 5 + -6i Solving 2ix + 3x + 2y = 5 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. 2ix + 3x + 6i + 2y = 5 + -6i + 6i Reorder the terms: 6i + 2ix + 3x + 2y = 5 + -6i + 6i Combine like terms: -6i + 6i = 0 6i + 2ix + 3x + 2y = 5 + 0 6i + 2ix + 3x + 2y = 5 Add '-3x' to each side of the equation. 6i + 2ix + 3x + -3x + 2y = 5 + -3x Combine like terms: 3x + -3x = 0 6i + 2ix + 0 + 2y = 5 + -3x 6i + 2ix + 2y = 5 + -3x Add '-2y' to each side of the equation. 6i + 2ix + 2y + -2y = 5 + -3x + -2y Combine like terms: 2y + -2y = 0 6i + 2ix + 0 = 5 + -3x + -2y 6i + 2ix = 5 + -3x + -2y Reorder the terms: -5 + 6i + 2ix + 3x + 2y = 5 + -3x + -2y + -5 + 3x + 2y Reorder the terms: -5 + 6i + 2ix + 3x + 2y = 5 + -5 + -3x + 3x + -2y + 2y Combine like terms: 5 + -5 = 0 -5 + 6i + 2ix + 3x + 2y = 0 + -3x + 3x + -2y + 2y -5 + 6i + 2ix + 3x + 2y = -3x + 3x + -2y + 2y Combine like terms: -3x + 3x = 0 -5 + 6i + 2ix + 3x + 2y = 0 + -2y + 2y -5 + 6i + 2ix + 3x + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -5 + 6i + 2ix + 3x + 2y = 0 The solution to this equation could not be determined.
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