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Simplifying (10 + 5i) * x + 5 = 20 Reorder the terms for easier multiplication: x(10 + 5i) + 5 = 20 (10 * x + 5i * x) + 5 = 20 Reorder the terms: (5ix + 10x) + 5 = 20 (5ix + 10x) + 5 = 20 Reorder the terms: 5 + 5ix + 10x = 20 Solving 5 + 5ix + 10x = 20 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 + 5ix + -5 + 10x = 20 + -5 Reorder the terms: 5 + -5 + 5ix + 10x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 5ix + 10x = 20 + -5 5ix + 10x = 20 + -5 Combine like terms: 20 + -5 = 15 5ix + 10x = 15 Add '-10x' to each side of the equation. 5ix + 10x + -10x = 15 + -10x Combine like terms: 10x + -10x = 0 5ix + 0 = 15 + -10x 5ix = 15 + -10x Divide each side by '5x'. i = 3x-1 + -2 Simplifying i = 3x-1 + -2 Reorder the terms: i = -2 + 3x-1
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