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