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