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Simplifying 2x + (3x + y) * i = 4 + 10i Reorder the terms for easier multiplication: 2x + i(3x + y) = 4 + 10i 2x + (3x * i + y * i) = 4 + 10i 2x + (3ix + iy) = 4 + 10i Reorder the terms: 3ix + iy + 2x = 4 + 10i Solving 3ix + iy + 2x = 4 + 10i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10i' to each side of the equation. 3ix + iy + -10i + 2x = 4 + 10i + -10i Reorder the terms: -10i + 3ix + iy + 2x = 4 + 10i + -10i Combine like terms: 10i + -10i = 0 -10i + 3ix + iy + 2x = 4 + 0 -10i + 3ix + iy + 2x = 4 Add '-2x' to each side of the equation. -10i + 3ix + iy + 2x + -2x = 4 + -2x Combine like terms: 2x + -2x = 0 -10i + 3ix + iy + 0 = 4 + -2x -10i + 3ix + iy = 4 + -2x Reorder the terms: -4 + -10i + 3ix + iy + 2x = 4 + -2x + -4 + 2x Reorder the terms: -4 + -10i + 3ix + iy + 2x = 4 + -4 + -2x + 2x Combine like terms: 4 + -4 = 0 -4 + -10i + 3ix + iy + 2x = 0 + -2x + 2x -4 + -10i + 3ix + iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -10i + 3ix + iy + 2x = 0 The solution to this equation could not be determined.
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