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Simplifying 3x + -4i = 4 + 4i Reorder the terms: -4i + 3x = 4 + 4i Solving -4i + 3x = 4 + 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. -4i + -4i + 3x = 4 + 4i + -4i Combine like terms: -4i + -4i = -8i -8i + 3x = 4 + 4i + -4i Combine like terms: 4i + -4i = 0 -8i + 3x = 4 + 0 -8i + 3x = 4 Add '-3x' to each side of the equation. -8i + 3x + -3x = 4 + -3x Combine like terms: 3x + -3x = 0 -8i + 0 = 4 + -3x -8i = 4 + -3x Divide each side by '-8'. i = -0.5 + 0.375x Simplifying i = -0.5 + 0.375x
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