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