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Simplifying x(2 + I) + 8 + -1yi = 5y + -3 + -1i (2 * x + I * x) + 8 + -1yi = 5y + -3 + -1i (2x + xI) + 8 + -1yi = 5y + -3 + -1i Reorder the terms: 8 + -1iy + 2x + xI = 5y + -3 + -1i Reorder the terms: 8 + -1iy + 2x + xI = -3 + -1i + 5y Solving 8 + -1iy + 2x + xI = -3 + -1i + 5y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 8 + -1iy + 2x + i + xI = -3 + -1i + i + 5y Reorder the terms: 8 + i + -1iy + 2x + xI = -3 + -1i + i + 5y Combine like terms: -1i + i = 0 8 + i + -1iy + 2x + xI = -3 + 0 + 5y 8 + i + -1iy + 2x + xI = -3 + 5y Add '-8' to each side of the equation. 8 + i + -1iy + 2x + -8 + xI = -3 + -8 + 5y Reorder the terms: 8 + -8 + i + -1iy + 2x + xI = -3 + -8 + 5y Combine like terms: 8 + -8 = 0 0 + i + -1iy + 2x + xI = -3 + -8 + 5y i + -1iy + 2x + xI = -3 + -8 + 5y Combine like terms: -3 + -8 = -11 i + -1iy + 2x + xI = -11 + 5y Add '-2x' to each side of the equation. i + -1iy + 2x + -2x + xI = -11 + -2x + 5y Combine like terms: 2x + -2x = 0 i + -1iy + 0 + xI = -11 + -2x + 5y i + -1iy + xI = -11 + -2x + 5y Add '-1xI' to each side of the equation. i + -1iy + xI + -1xI = -11 + -2x + -1xI + 5y Combine like terms: xI + -1xI = 0 i + -1iy + 0 = -11 + -2x + -1xI + 5y i + -1iy = -11 + -2x + -1xI + 5y Reorder the terms: 11 + i + -1iy + 2x + xI + -5y = -11 + -2x + -1xI + 5y + 11 + 2x + xI + -5y Reorder the terms: 11 + i + -1iy + 2x + xI + -5y = -11 + 11 + -2x + 2x + -1xI + xI + 5y + -5y Combine like terms: -11 + 11 = 0 11 + i + -1iy + 2x + xI + -5y = 0 + -2x + 2x + -1xI + xI + 5y + -5y 11 + i + -1iy + 2x + xI + -5y = -2x + 2x + -1xI + xI + 5y + -5y Combine like terms: -2x + 2x = 0 11 + i + -1iy + 2x + xI + -5y = 0 + -1xI + xI + 5y + -5y 11 + i + -1iy + 2x + xI + -5y = -1xI + xI + 5y + -5y Combine like terms: -1xI + xI = 0 11 + i + -1iy + 2x + xI + -5y = 0 + 5y + -5y 11 + i + -1iy + 2x + xI + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 11 + i + -1iy + 2x + xI + -5y = 0 The solution to this equation could not be determined.
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