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Simplifying 2x + 5ix + -3y + -4iy = 1 + -6i Reorder the terms: 5ix + -4iy + 2x + -3y = 1 + -6i Solving 5ix + -4iy + 2x + -3y = 1 + -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. 5ix + -4iy + 2x + 6i + -3y = 1 + -6i + 6i Reorder the terms: 6i + 5ix + -4iy + 2x + -3y = 1 + -6i + 6i Combine like terms: -6i + 6i = 0 6i + 5ix + -4iy + 2x + -3y = 1 + 0 6i + 5ix + -4iy + 2x + -3y = 1 Add '-2x' to each side of the equation. 6i + 5ix + -4iy + 2x + -2x + -3y = 1 + -2x Combine like terms: 2x + -2x = 0 6i + 5ix + -4iy + 0 + -3y = 1 + -2x 6i + 5ix + -4iy + -3y = 1 + -2x Add '3y' to each side of the equation. 6i + 5ix + -4iy + -3y + 3y = 1 + -2x + 3y Combine like terms: -3y + 3y = 0 6i + 5ix + -4iy + 0 = 1 + -2x + 3y 6i + 5ix + -4iy = 1 + -2x + 3y Reorder the terms: -1 + 6i + 5ix + -4iy + 2x + -3y = 1 + -2x + 3y + -1 + 2x + -3y Reorder the terms: -1 + 6i + 5ix + -4iy + 2x + -3y = 1 + -1 + -2x + 2x + 3y + -3y Combine like terms: 1 + -1 = 0 -1 + 6i + 5ix + -4iy + 2x + -3y = 0 + -2x + 2x + 3y + -3y -1 + 6i + 5ix + -4iy + 2x + -3y = -2x + 2x + 3y + -3y Combine like terms: -2x + 2x = 0 -1 + 6i + 5ix + -4iy + 2x + -3y = 0 + 3y + -3y -1 + 6i + 5ix + -4iy + 2x + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -1 + 6i + 5ix + -4iy + 2x + -3y = 0 The solution to this equation could not be determined.
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