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Simplifying 2x + 39i = 14 + 3i Reorder the terms: 39i + 2x = 14 + 3i Solving 39i + 2x = 14 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 39i + -3i + 2x = 14 + 3i + -3i Combine like terms: 39i + -3i = 36i 36i + 2x = 14 + 3i + -3i Combine like terms: 3i + -3i = 0 36i + 2x = 14 + 0 36i + 2x = 14 Add '-2x' to each side of the equation. 36i + 2x + -2x = 14 + -2x Combine like terms: 2x + -2x = 0 36i + 0 = 14 + -2x 36i = 14 + -2x Divide each side by '36'. i = 0.3888888889 + -0.05555555556x Simplifying i = 0.3888888889 + -0.05555555556x
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