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Simplifying [x + -1(3 + -2i)] = 0 [x + (3 * -1 + -2i * -1)] = 0 [x + (-3 + 2i)] = 0 Reorder the terms: [-3 + 2i + x] = 0 Remove brackets around [-3 + 2i + x] -3 + 2i + x = 0 Solving -3 + 2i + x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2i + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + 2i + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2i + x = 0 + 3 2i + x = 0 + 3 Combine like terms: 0 + 3 = 3 2i + x = 3 Add '-1x' to each side of the equation. 2i + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 2i + 0 = 3 + -1x 2i = 3 + -1x Divide each side by '2'. i = 1.5 + -0.5x Simplifying i = 1.5 + -0.5x
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