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Simplifying x + 5 + (2x + -4y) * i = 15 + 60i Reorder the terms for easier multiplication: x + 5 + i(2x + -4y) = 15 + 60i x + 5 + (2x * i + -4y * i) = 15 + 60i x + 5 + (2ix + -4iy) = 15 + 60i Reorder the terms: 5 + 2ix + -4iy + x = 15 + 60i Solving 5 + 2ix + -4iy + x = 15 + 60i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-60i' to each side of the equation. 5 + 2ix + -4iy + -60i + x = 15 + 60i + -60i Reorder the terms: 5 + -60i + 2ix + -4iy + x = 15 + 60i + -60i Combine like terms: 60i + -60i = 0 5 + -60i + 2ix + -4iy + x = 15 + 0 5 + -60i + 2ix + -4iy + x = 15 Add '-5' to each side of the equation. 5 + -60i + 2ix + -4iy + -5 + x = 15 + -5 Reorder the terms: 5 + -5 + -60i + 2ix + -4iy + x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -60i + 2ix + -4iy + x = 15 + -5 -60i + 2ix + -4iy + x = 15 + -5 Combine like terms: 15 + -5 = 10 -60i + 2ix + -4iy + x = 10 Add '-1x' to each side of the equation. -60i + 2ix + -4iy + x + -1x = 10 + -1x Combine like terms: x + -1x = 0 -60i + 2ix + -4iy + 0 = 10 + -1x -60i + 2ix + -4iy = 10 + -1x Reorder the terms: -10 + -60i + 2ix + -4iy + x = 10 + -1x + -10 + x Reorder the terms: -10 + -60i + 2ix + -4iy + x = 10 + -10 + -1x + x Combine like terms: 10 + -10 = 0 -10 + -60i + 2ix + -4iy + x = 0 + -1x + x -10 + -60i + 2ix + -4iy + x = -1x + x Combine like terms: -1x + x = 0 -10 + -60i + 2ix + -4iy + x = 0 The solution to this equation could not be determined.
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