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Simplifying 2x + 7x(3 + -1y) * i = -4 + 6i Reorder the terms for easier multiplication: 2x + 7x * i(3 + -1y) = -4 + 6i Multiply x * i 2x + 7ix(3 + -1y) = -4 + 6i 2x + (3 * 7ix + -1y * 7ix) = -4 + 6i 2x + (21ix + -7ixy) = -4 + 6i Reorder the terms: 21ix + -7ixy + 2x = -4 + 6i Solving 21ix + -7ixy + 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. 21ix + -7ixy + -6i + 2x = -4 + 6i + -6i Reorder the terms: -6i + 21ix + -7ixy + 2x = -4 + 6i + -6i Combine like terms: 6i + -6i = 0 -6i + 21ix + -7ixy + 2x = -4 + 0 -6i + 21ix + -7ixy + 2x = -4 Add '-2x' to each side of the equation. -6i + 21ix + -7ixy + 2x + -2x = -4 + -2x Combine like terms: 2x + -2x = 0 -6i + 21ix + -7ixy + 0 = -4 + -2x -6i + 21ix + -7ixy = -4 + -2x Reorder the terms: 4 + -6i + 21ix + -7ixy + 2x = -4 + -2x + 4 + 2x Reorder the terms: 4 + -6i + 21ix + -7ixy + 2x = -4 + 4 + -2x + 2x Combine like terms: -4 + 4 = 0 4 + -6i + 21ix + -7ixy + 2x = 0 + -2x + 2x 4 + -6i + 21ix + -7ixy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 4 + -6i + 21ix + -7ixy + 2x = 0 The solution to this equation could not be determined.
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