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Simplifying 5x + -8i = 3 + 4i Reorder the terms: -8i + 5x = 3 + 4i Solving -8i + 5x = 3 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. -8i + -4i + 5x = 3 + 4i + -4i Combine like terms: -8i + -4i = -12i -12i + 5x = 3 + 4i + -4i Combine like terms: 4i + -4i = 0 -12i + 5x = 3 + 0 -12i + 5x = 3 Add '-5x' to each side of the equation. -12i + 5x + -5x = 3 + -5x Combine like terms: 5x + -5x = 0 -12i + 0 = 3 + -5x -12i = 3 + -5x Divide each side by '-12'. i = -0.25 + 0.4166666667x Simplifying i = -0.25 + 0.4166666667x
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