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Simplifying 0.2x + 7 + (3 + -1y) * i = -4 + 6i Reorder the terms for easier multiplication: 0.2x + 7 + i(3 + -1y) = -4 + 6i 0.2x + 7 + (3 * i + -1y * i) = -4 + 6i 0.2x + 7 + (3i + -1iy) = -4 + 6i Reorder the terms: 7 + 3i + -1iy + 0.2x = -4 + 6i Solving 7 + 3i + -1iy + 0.2x = -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 + 0.2x = -4 + 6i + -6i Reorder the terms: 7 + 3i + -6i + -1iy + 0.2x = -4 + 6i + -6i Combine like terms: 3i + -6i = -3i 7 + -3i + -1iy + 0.2x = -4 + 6i + -6i Combine like terms: 6i + -6i = 0 7 + -3i + -1iy + 0.2x = -4 + 0 7 + -3i + -1iy + 0.2x = -4 Add '-7' to each side of the equation. 7 + -3i + -1iy + -7 + 0.2x = -4 + -7 Reorder the terms: 7 + -7 + -3i + -1iy + 0.2x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -3i + -1iy + 0.2x = -4 + -7 -3i + -1iy + 0.2x = -4 + -7 Combine like terms: -4 + -7 = -11 -3i + -1iy + 0.2x = -11 Add '-0.2x' to each side of the equation. -3i + -1iy + 0.2x + -0.2x = -11 + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -3i + -1iy + 0.0 = -11 + -0.2x -3i + -1iy = -11 + -0.2x Reorder the terms: 11 + -3i + -1iy + 0.2x = -11 + -0.2x + 11 + 0.2x Reorder the terms: 11 + -3i + -1iy + 0.2x = -11 + 11 + -0.2x + 0.2x Combine like terms: -11 + 11 = 0 11 + -3i + -1iy + 0.2x = 0 + -0.2x + 0.2x 11 + -3i + -1iy + 0.2x = -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 11 + -3i + -1iy + 0.2x = 0.0 The solution to this equation could not be determined.
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