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