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Simplifying (2x + -1y) * i + 3 = x + 10i Reorder the terms for easier multiplication: i(2x + -1y) + 3 = x + 10i (2x * i + -1y * i) + 3 = x + 10i (2ix + -1iy) + 3 = x + 10i Reorder the terms: 3 + 2ix + -1iy = x + 10i Reorder the terms: 3 + 2ix + -1iy = 10i + x Solving 3 + 2ix + -1iy = 10i + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10i' to each side of the equation. 3 + 2ix + -10i + -1iy = 10i + -10i + x Reorder the terms: 3 + -10i + 2ix + -1iy = 10i + -10i + x Combine like terms: 10i + -10i = 0 3 + -10i + 2ix + -1iy = 0 + x 3 + -10i + 2ix + -1iy = x Add '-3' to each side of the equation. 3 + -10i + 2ix + -3 + -1iy = -3 + x Reorder the terms: 3 + -3 + -10i + 2ix + -1iy = -3 + x Combine like terms: 3 + -3 = 0 0 + -10i + 2ix + -1iy = -3 + x -10i + 2ix + -1iy = -3 + x Reorder the terms: 3 + -10i + 2ix + -1iy + -1x = -3 + x + 3 + -1x Reorder the terms: 3 + -10i + 2ix + -1iy + -1x = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 3 + -10i + 2ix + -1iy + -1x = 0 + x + -1x 3 + -10i + 2ix + -1iy + -1x = x + -1x Combine like terms: x + -1x = 0 3 + -10i + 2ix + -1iy + -1x = 0 The solution to this equation could not be determined.
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