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Simplifying (2x + -4) + 9i = 8 + 3i Reorder the terms: (-4 + 2x) + 9i = 8 + 3i Remove parenthesis around (-4 + 2x) -4 + 2x + 9i = 8 + 3i Reorder the terms: -4 + 9i + 2x = 8 + 3i Solving -4 + 9i + 2x = 8 + 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. -4 + 9i + -3i + 2x = 8 + 3i + -3i Combine like terms: 9i + -3i = 6i -4 + 6i + 2x = 8 + 3i + -3i Combine like terms: 3i + -3i = 0 -4 + 6i + 2x = 8 + 0 -4 + 6i + 2x = 8 Add '4' to each side of the equation. -4 + 6i + 4 + 2x = 8 + 4 Reorder the terms: -4 + 4 + 6i + 2x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6i + 2x = 8 + 4 6i + 2x = 8 + 4 Combine like terms: 8 + 4 = 12 6i + 2x = 12 Add '-2x' to each side of the equation. 6i + 2x + -2x = 12 + -2x Combine like terms: 2x + -2x = 0 6i + 0 = 12 + -2x 6i = 12 + -2x Divide each side by '6'. i = 2 + -0.3333333333x Simplifying i = 2 + -0.3333333333x
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