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Simplifying 5x + 1 + (3 + 2y) * i = 2x + -2(y + -6) * i Reorder the terms for easier multiplication: 5x + 1 + i(3 + 2y) = 2x + -2(y + -6) * i 5x + 1 + (3 * i + 2y * i) = 2x + -2(y + -6) * i 5x + 1 + (3i + 2iy) = 2x + -2(y + -6) * i Reorder the terms: 1 + 3i + 2iy + 5x = 2x + -2(y + -6) * i Reorder the terms: 1 + 3i + 2iy + 5x = 2x + -2(-6 + y) * i Reorder the terms for easier multiplication: 1 + 3i + 2iy + 5x = 2x + -2i(-6 + y) 1 + 3i + 2iy + 5x = 2x + (-6 * -2i + y * -2i) 1 + 3i + 2iy + 5x = 2x + (12i + -2iy) Reorder the terms: 1 + 3i + 2iy + 5x = 12i + -2iy + 2x Solving 1 + 3i + 2iy + 5x = 12i + -2iy + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12i' to each side of the equation. 1 + 3i + 2iy + -12i + 5x = 12i + -2iy + -12i + 2x Reorder the terms: 1 + 3i + -12i + 2iy + 5x = 12i + -2iy + -12i + 2x Combine like terms: 3i + -12i = -9i 1 + -9i + 2iy + 5x = 12i + -2iy + -12i + 2x Reorder the terms: 1 + -9i + 2iy + 5x = 12i + -12i + -2iy + 2x Combine like terms: 12i + -12i = 0 1 + -9i + 2iy + 5x = 0 + -2iy + 2x 1 + -9i + 2iy + 5x = -2iy + 2x Add '2iy' to each side of the equation. 1 + -9i + 2iy + 2iy + 5x = -2iy + 2iy + 2x Combine like terms: 2iy + 2iy = 4iy 1 + -9i + 4iy + 5x = -2iy + 2iy + 2x Combine like terms: -2iy + 2iy = 0 1 + -9i + 4iy + 5x = 0 + 2x 1 + -9i + 4iy + 5x = 2x Add '-1' to each side of the equation. 1 + -9i + 4iy + -1 + 5x = -1 + 2x Reorder the terms: 1 + -1 + -9i + 4iy + 5x = -1 + 2x Combine like terms: 1 + -1 = 0 0 + -9i + 4iy + 5x = -1 + 2x -9i + 4iy + 5x = -1 + 2x Add '-5x' to each side of the equation. -9i + 4iy + 5x + -5x = -1 + 2x + -5x Combine like terms: 5x + -5x = 0 -9i + 4iy + 0 = -1 + 2x + -5x -9i + 4iy = -1 + 2x + -5x Combine like terms: 2x + -5x = -3x -9i + 4iy = -1 + -3x Reorder the terms: 1 + -9i + 4iy + 3x = -1 + -3x + 1 + 3x Reorder the terms: 1 + -9i + 4iy + 3x = -1 + 1 + -3x + 3x Combine like terms: -1 + 1 = 0 1 + -9i + 4iy + 3x = 0 + -3x + 3x 1 + -9i + 4iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 1 + -9i + 4iy + 3x = 0 The solution to this equation could not be determined.
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