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Simplifying 2x + -8i + 4x = 2(9 + 4i) Reorder the terms: -8i + 2x + 4x = 2(9 + 4i) Combine like terms: 2x + 4x = 6x -8i + 6x = 2(9 + 4i) -8i + 6x = (9 * 2 + 4i * 2) -8i + 6x = (18 + 8i) Solving -8i + 6x = 18 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. -8i + -8i + 6x = 18 + 8i + -8i Combine like terms: -8i + -8i = -16i -16i + 6x = 18 + 8i + -8i Combine like terms: 8i + -8i = 0 -16i + 6x = 18 + 0 -16i + 6x = 18 Add '-6x' to each side of the equation. -16i + 6x + -6x = 18 + -6x Combine like terms: 6x + -6x = 0 -16i + 0 = 18 + -6x -16i = 18 + -6x Divide each side by '-16'. i = -1.125 + 0.375x Simplifying i = -1.125 + 0.375x
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