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