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Simplifying (3 + 2i) * x = 4 Reorder the terms for easier multiplication: x(3 + 2i) = 4 (3 * x + 2i * x) = 4 Reorder the terms: (2ix + 3x) = 4 (2ix + 3x) = 4 Solving 2ix + 3x = 4 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3x' to each side of the equation. 2ix + 3x + -3x = 4 + -3x Combine like terms: 3x + -3x = 0 2ix + 0 = 4 + -3x 2ix = 4 + -3x Divide each side by '2x'. i = 2x-1 + -1.5 Simplifying i = 2x-1 + -1.5 Reorder the terms: i = -1.5 + 2x-1
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