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