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Simplifying (-7 + -3i) + -6 = x + -1(-2 + yi) Remove parenthesis around (-7 + -3i) -7 + -3i + -6 = x + -1(-2 + yi) Reorder the terms: -7 + -6 + -3i = x + -1(-2 + yi) Combine like terms: -7 + -6 = -13 -13 + -3i = x + -1(-2 + yi) -13 + -3i = x + (-2 * -1 + iy * -1) -13 + -3i = x + (2 + -1iy) Reorder the terms: -13 + -3i = 2 + -1iy + x Solving -13 + -3i = 2 + -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. -13 + -3i + iy = 2 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -13 + -3i + iy = 2 + 0 + x -13 + -3i + iy = 2 + x Add '13' to each side of the equation. -13 + -3i + 13 + iy = 2 + 13 + x Reorder the terms: -13 + 13 + -3i + iy = 2 + 13 + x Combine like terms: -13 + 13 = 0 0 + -3i + iy = 2 + 13 + x -3i + iy = 2 + 13 + x Combine like terms: 2 + 13 = 15 -3i + iy = 15 + x Reorder the terms: -15 + -3i + iy + -1x = 15 + x + -15 + -1x Reorder the terms: -15 + -3i + iy + -1x = 15 + -15 + x + -1x Combine like terms: 15 + -15 = 0 -15 + -3i + iy + -1x = 0 + x + -1x -15 + -3i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 -15 + -3i + iy + -1x = 0 The solution to this equation could not be determined.
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