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Simplifying x + 4i = -5 + yi Reorder the terms: 4i + x = -5 + yi Solving 4i + x = -5 + 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. 4i + -1iy + x = -5 + iy + -1iy Combine like terms: iy + -1iy = 0 4i + -1iy + x = -5 + 0 4i + -1iy + x = -5 Add '-1x' to each side of the equation. 4i + -1iy + x + -1x = -5 + -1x Combine like terms: x + -1x = 0 4i + -1iy + 0 = -5 + -1x 4i + -1iy = -5 + -1x Reorder the terms: 5 + 4i + -1iy + x = -5 + -1x + 5 + x Reorder the terms: 5 + 4i + -1iy + x = -5 + 5 + -1x + x Combine like terms: -5 + 5 = 0 5 + 4i + -1iy + x = 0 + -1x + x 5 + 4i + -1iy + x = -1x + x Combine like terms: -1x + x = 0 5 + 4i + -1iy + x = 0 The solution to this equation could not be determined.
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