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Simplifying 2x + 3xi + -5yi + 3y = 2 + 4i Reorder the terms: 3ix + -5iy + 2x + 3y = 2 + 4i Solving 3ix + -5iy + 2x + 3y = 2 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 3ix + -5iy + 2x + -4i + 3y = 2 + 4i + -4i Reorder the terms: -4i + 3ix + -5iy + 2x + 3y = 2 + 4i + -4i Combine like terms: 4i + -4i = 0 -4i + 3ix + -5iy + 2x + 3y = 2 + 0 -4i + 3ix + -5iy + 2x + 3y = 2 Add '-2x' to each side of the equation. -4i + 3ix + -5iy + 2x + -2x + 3y = 2 + -2x Combine like terms: 2x + -2x = 0 -4i + 3ix + -5iy + 0 + 3y = 2 + -2x -4i + 3ix + -5iy + 3y = 2 + -2x Add '-3y' to each side of the equation. -4i + 3ix + -5iy + 3y + -3y = 2 + -2x + -3y Combine like terms: 3y + -3y = 0 -4i + 3ix + -5iy + 0 = 2 + -2x + -3y -4i + 3ix + -5iy = 2 + -2x + -3y Reorder the terms: -2 + -4i + 3ix + -5iy + 2x + 3y = 2 + -2x + -3y + -2 + 2x + 3y Reorder the terms: -2 + -4i + 3ix + -5iy + 2x + 3y = 2 + -2 + -2x + 2x + -3y + 3y Combine like terms: 2 + -2 = 0 -2 + -4i + 3ix + -5iy + 2x + 3y = 0 + -2x + 2x + -3y + 3y -2 + -4i + 3ix + -5iy + 2x + 3y = -2x + 2x + -3y + 3y Combine like terms: -2x + 2x = 0 -2 + -4i + 3ix + -5iy + 2x + 3y = 0 + -3y + 3y -2 + -4i + 3ix + -5iy + 2x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -2 + -4i + 3ix + -5iy + 2x + 3y = 0 The solution to this equation could not be determined.
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