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Simplifying (x + 2y) + (2x + -3y) * i + 4i = 5 Remove parenthesis around (x + 2y) x + 2y + (2x + -3y) * i + 4i = 5 Reorder the terms for easier multiplication: x + 2y + i(2x + -3y) + 4i = 5 x + 2y + (2x * i + -3y * i) + 4i = 5 x + 2y + (2ix + -3iy) + 4i = 5 Reorder the terms: 4i + 2ix + -3iy + x + 2y = 5 Solving 4i + 2ix + -3iy + x + 2y = 5 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. 4i + 2ix + -3iy + x + -1x + 2y = 5 + -1x Combine like terms: x + -1x = 0 4i + 2ix + -3iy + 0 + 2y = 5 + -1x 4i + 2ix + -3iy + 2y = 5 + -1x Add '-2y' to each side of the equation. 4i + 2ix + -3iy + 2y + -2y = 5 + -1x + -2y Combine like terms: 2y + -2y = 0 4i + 2ix + -3iy + 0 = 5 + -1x + -2y 4i + 2ix + -3iy = 5 + -1x + -2y Reorder the terms: -5 + 4i + 2ix + -3iy + x + 2y = 5 + -1x + -2y + -5 + x + 2y Reorder the terms: -5 + 4i + 2ix + -3iy + x + 2y = 5 + -5 + -1x + x + -2y + 2y Combine like terms: 5 + -5 = 0 -5 + 4i + 2ix + -3iy + x + 2y = 0 + -1x + x + -2y + 2y -5 + 4i + 2ix + -3iy + x + 2y = -1x + x + -2y + 2y Combine like terms: -1x + x = 0 -5 + 4i + 2ix + -3iy + x + 2y = 0 + -2y + 2y -5 + 4i + 2ix + -3iy + x + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -5 + 4i + 2ix + -3iy + x + 2y = 0 The solution to this equation could not be determined.
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