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Simplifying (7 + -5i) + -8 = x + -1(4 + yi) Remove parenthesis around (7 + -5i) 7 + -5i + -8 = x + -1(4 + yi) Reorder the terms: 7 + -8 + -5i = x + -1(4 + yi) Combine like terms: 7 + -8 = -1 -1 + -5i = x + -1(4 + yi) -1 + -5i = x + (4 * -1 + iy * -1) -1 + -5i = x + (-4 + -1iy) Reorder the terms: -1 + -5i = -4 + -1iy + x Solving -1 + -5i = -4 + -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. -1 + -5i + iy = -4 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -1 + -5i + iy = -4 + 0 + x -1 + -5i + iy = -4 + x Add '1' to each side of the equation. -1 + -5i + 1 + iy = -4 + 1 + x Reorder the terms: -1 + 1 + -5i + iy = -4 + 1 + x Combine like terms: -1 + 1 = 0 0 + -5i + iy = -4 + 1 + x -5i + iy = -4 + 1 + x Combine like terms: -4 + 1 = -3 -5i + iy = -3 + x Reorder the terms: 3 + -5i + iy + -1x = -3 + x + 3 + -1x Reorder the terms: 3 + -5i + iy + -1x = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 3 + -5i + iy + -1x = 0 + x + -1x 3 + -5i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 3 + -5i + iy + -1x = 0 The solution to this equation could not be determined.
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