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