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Simplifying (-2 + -7i) + -3 = x + -1(-1 + yi) Remove parenthesis around (-2 + -7i) -2 + -7i + -3 = x + -1(-1 + yi) Reorder the terms: -2 + -3 + -7i = x + -1(-1 + yi) Combine like terms: -2 + -3 = -5 -5 + -7i = x + -1(-1 + yi) -5 + -7i = x + (-1 * -1 + iy * -1) -5 + -7i = x + (1 + -1iy) Reorder the terms: -5 + -7i = 1 + -1iy + x Solving -5 + -7i = 1 + -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. -5 + -7i + iy = 1 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -5 + -7i + iy = 1 + 0 + x -5 + -7i + iy = 1 + x Add '5' to each side of the equation. -5 + -7i + 5 + iy = 1 + 5 + x Reorder the terms: -5 + 5 + -7i + iy = 1 + 5 + x Combine like terms: -5 + 5 = 0 0 + -7i + iy = 1 + 5 + x -7i + iy = 1 + 5 + x Combine like terms: 1 + 5 = 6 -7i + iy = 6 + x Reorder the terms: -6 + -7i + iy + -1x = 6 + x + -6 + -1x Reorder the terms: -6 + -7i + iy + -1x = 6 + -6 + x + -1x Combine like terms: 6 + -6 = 0 -6 + -7i + iy + -1x = 0 + x + -1x -6 + -7i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 -6 + -7i + iy + -1x = 0 The solution to this equation could not be determined.
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