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Simplifying (2x + 7) + (3 + -1y) * i = -4 + 6i Reorder the terms: (7 + 2x) + (3 + -1y) * i = -4 + 6i Remove parenthesis around (7 + 2x) 7 + 2x + (3 + -1y) * i = -4 + 6i Reorder the terms for easier multiplication: 7 + 2x + i(3 + -1y) = -4 + 6i 7 + 2x + (3 * i + -1y * i) = -4 + 6i 7 + 2x + (3i + -1iy) = -4 + 6i Reorder the terms: 7 + 3i + -1iy + 2x = -4 + 6i Solving 7 + 3i + -1iy + 2x = -4 + 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. 7 + 3i + -1iy + -6i + 2x = -4 + 6i + -6i Reorder the terms: 7 + 3i + -6i + -1iy + 2x = -4 + 6i + -6i Combine like terms: 3i + -6i = -3i 7 + -3i + -1iy + 2x = -4 + 6i + -6i Combine like terms: 6i + -6i = 0 7 + -3i + -1iy + 2x = -4 + 0 7 + -3i + -1iy + 2x = -4 Add '-7' to each side of the equation. 7 + -3i + -1iy + -7 + 2x = -4 + -7 Reorder the terms: 7 + -7 + -3i + -1iy + 2x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -3i + -1iy + 2x = -4 + -7 -3i + -1iy + 2x = -4 + -7 Combine like terms: -4 + -7 = -11 -3i + -1iy + 2x = -11 Add '-2x' to each side of the equation. -3i + -1iy + 2x + -2x = -11 + -2x Combine like terms: 2x + -2x = 0 -3i + -1iy + 0 = -11 + -2x -3i + -1iy = -11 + -2x Reorder the terms: 11 + -3i + -1iy + 2x = -11 + -2x + 11 + 2x Reorder the terms: 11 + -3i + -1iy + 2x = -11 + 11 + -2x + 2x Combine like terms: -11 + 11 = 0 11 + -3i + -1iy + 2x = 0 + -2x + 2x 11 + -3i + -1iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 11 + -3i + -1iy + 2x = 0 The solution to this equation could not be determined.
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