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