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Simplifying 3(x + 4 + 2i) = 15 + 18i Reorder the terms: 3(4 + 2i + x) = 15 + 18i (4 * 3 + 2i * 3 + x * 3) = 15 + 18i (12 + 6i + 3x) = 15 + 18i Solving 12 + 6i + 3x = 15 + 18i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18i' to each side of the equation. 12 + 6i + -18i + 3x = 15 + 18i + -18i Combine like terms: 6i + -18i = -12i 12 + -12i + 3x = 15 + 18i + -18i Combine like terms: 18i + -18i = 0 12 + -12i + 3x = 15 + 0 12 + -12i + 3x = 15 Add '-12' to each side of the equation. 12 + -12i + -12 + 3x = 15 + -12 Reorder the terms: 12 + -12 + -12i + 3x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -12i + 3x = 15 + -12 -12i + 3x = 15 + -12 Combine like terms: 15 + -12 = 3 -12i + 3x = 3 Add '-3x' to each side of the equation. -12i + 3x + -3x = 3 + -3x Combine like terms: 3x + -3x = 0 -12i + 0 = 3 + -3x -12i = 3 + -3x Divide each side by '-12'. i = -0.25 + 0.25x Simplifying i = -0.25 + 0.25x
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