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Simplifying 3x + 7i = x + -2 + -1yi + 5i Reorder the terms: 7i + 3x = x + -2 + -1yi + 5i Reorder the terms: 7i + 3x = -2 + 5i + -1iy + x Solving 7i + 3x = -2 + 5i + -1iy + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 7i + -5i + 3x = -2 + 5i + -1iy + -5i + x Combine like terms: 7i + -5i = 2i 2i + 3x = -2 + 5i + -1iy + -5i + x Reorder the terms: 2i + 3x = -2 + 5i + -5i + -1iy + x Combine like terms: 5i + -5i = 0 2i + 3x = -2 + 0 + -1iy + x 2i + 3x = -2 + -1iy + x Add 'iy' to each side of the equation. 2i + iy + 3x = -2 + -1iy + iy + x Combine like terms: -1iy + iy = 0 2i + iy + 3x = -2 + 0 + x 2i + iy + 3x = -2 + x Add '-3x' to each side of the equation. 2i + iy + 3x + -3x = -2 + x + -3x Combine like terms: 3x + -3x = 0 2i + iy + 0 = -2 + x + -3x 2i + iy = -2 + x + -3x Combine like terms: x + -3x = -2x 2i + iy = -2 + -2x Reorder the terms: 2 + 2i + iy + 2x = -2 + -2x + 2 + 2x Reorder the terms: 2 + 2i + iy + 2x = -2 + 2 + -2x + 2x Combine like terms: -2 + 2 = 0 2 + 2i + iy + 2x = 0 + -2x + 2x 2 + 2i + iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 2 + 2i + iy + 2x = 0 The solution to this equation could not be determined.
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