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Simplifying 4 + x + (3y + -1x) * i = 2y + -3 + (5 + x) * i Reorder the terms: 4 + x + (-1x + 3y) * i = 2y + -3 + (5 + x) * i Reorder the terms for easier multiplication: 4 + x + i(-1x + 3y) = 2y + -3 + (5 + x) * i 4 + x + (-1x * i + 3y * i) = 2y + -3 + (5 + x) * i 4 + x + (-1ix + 3iy) = 2y + -3 + (5 + x) * i Reorder the terms: 4 + -1ix + 3iy + x = 2y + -3 + (5 + x) * i Reorder the terms for easier multiplication: 4 + -1ix + 3iy + x = 2y + -3 + i(5 + x) 4 + -1ix + 3iy + x = 2y + -3 + (5 * i + x * i) 4 + -1ix + 3iy + x = 2y + -3 + (5i + ix) Reorder the terms: 4 + -1ix + 3iy + x = -3 + 5i + ix + 2y Solving 4 + -1ix + 3iy + x = -3 + 5i + ix + 2y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 4 + -1ix + 3iy + -5i + x = -3 + 5i + ix + -5i + 2y Reorder the terms: 4 + -5i + -1ix + 3iy + x = -3 + 5i + ix + -5i + 2y Reorder the terms: 4 + -5i + -1ix + 3iy + x = -3 + 5i + -5i + ix + 2y Combine like terms: 5i + -5i = 0 4 + -5i + -1ix + 3iy + x = -3 + 0 + ix + 2y 4 + -5i + -1ix + 3iy + x = -3 + ix + 2y Add '-1ix' to each side of the equation. 4 + -5i + -1ix + 3iy + -1ix + x = -3 + ix + -1ix + 2y Reorder the terms: 4 + -5i + -1ix + -1ix + 3iy + x = -3 + ix + -1ix + 2y Combine like terms: -1ix + -1ix = -2ix 4 + -5i + -2ix + 3iy + x = -3 + ix + -1ix + 2y Combine like terms: ix + -1ix = 0 4 + -5i + -2ix + 3iy + x = -3 + 0 + 2y 4 + -5i + -2ix + 3iy + x = -3 + 2y Add '-4' to each side of the equation. 4 + -5i + -2ix + 3iy + -4 + x = -3 + -4 + 2y Reorder the terms: 4 + -4 + -5i + -2ix + 3iy + x = -3 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + -5i + -2ix + 3iy + x = -3 + -4 + 2y -5i + -2ix + 3iy + x = -3 + -4 + 2y Combine like terms: -3 + -4 = -7 -5i + -2ix + 3iy + x = -7 + 2y Add '-1x' to each side of the equation. -5i + -2ix + 3iy + x + -1x = -7 + -1x + 2y Combine like terms: x + -1x = 0 -5i + -2ix + 3iy + 0 = -7 + -1x + 2y -5i + -2ix + 3iy = -7 + -1x + 2y Reorder the terms: 7 + -5i + -2ix + 3iy + x + -2y = -7 + -1x + 2y + 7 + x + -2y Reorder the terms: 7 + -5i + -2ix + 3iy + x + -2y = -7 + 7 + -1x + x + 2y + -2y Combine like terms: -7 + 7 = 0 7 + -5i + -2ix + 3iy + x + -2y = 0 + -1x + x + 2y + -2y 7 + -5i + -2ix + 3iy + x + -2y = -1x + x + 2y + -2y Combine like terms: -1x + x = 0 7 + -5i + -2ix + 3iy + x + -2y = 0 + 2y + -2y 7 + -5i + -2ix + 3iy + x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 7 + -5i + -2ix + 3iy + x + -2y = 0 The solution to this equation could not be determined.
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