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Simplifying (4x + 3i) + (-2 + -1i) = 0 Reorder the terms: (3i + 4x) + (-2 + -1i) = 0 Remove parenthesis around (3i + 4x) 3i + 4x + (-2 + -1i) = 0 Remove parenthesis around (-2 + -1i) 3i + 4x + -2 + -1i = 0 Reorder the terms: -2 + 3i + -1i + 4x = 0 Combine like terms: 3i + -1i = 2i -2 + 2i + 4x = 0 Solving -2 + 2i + 4x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2i + 2 + 4x = 0 + 2 Reorder the terms: -2 + 2 + 2i + 4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2i + 4x = 0 + 2 2i + 4x = 0 + 2 Combine like terms: 0 + 2 = 2 2i + 4x = 2 Add '-4x' to each side of the equation. 2i + 4x + -4x = 2 + -4x Combine like terms: 4x + -4x = 0 2i + 0 = 2 + -4x 2i = 2 + -4x Divide each side by '2'. i = 1 + -2x Simplifying i = 1 + -2x
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