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Simplifying 3x + 12i = 27 + 36i Reorder the terms: 12i + 3x = 27 + 36i Solving 12i + 3x = 27 + 36i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-36i' to each side of the equation. 12i + -36i + 3x = 27 + 36i + -36i Combine like terms: 12i + -36i = -24i -24i + 3x = 27 + 36i + -36i Combine like terms: 36i + -36i = 0 -24i + 3x = 27 + 0 -24i + 3x = 27 Add '-3x' to each side of the equation. -24i + 3x + -3x = 27 + -3x Combine like terms: 3x + -3x = 0 -24i + 0 = 27 + -3x -24i = 27 + -3x Divide each side by '-24'. i = -1.125 + 0.125x Simplifying i = -1.125 + 0.125x
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