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Simplifying (4x + 3i) + -1(-9 + i) = 0 Reorder the terms: (3i + 4x) + -1(-9 + i) = 0 Remove parenthesis around (3i + 4x) 3i + 4x + -1(-9 + i) = 0 3i + 4x + (-9 * -1 + i * -1) = 0 3i + 4x + (9 + -1i) = 0 Reorder the terms: 9 + 3i + -1i + 4x = 0 Combine like terms: 3i + -1i = 2i 9 + 2i + 4x = 0 Solving 9 + 2i + 4x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2i + -9 + 4x = 0 + -9 Reorder the terms: 9 + -9 + 2i + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2i + 4x = 0 + -9 2i + 4x = 0 + -9 Combine like terms: 0 + -9 = -9 2i + 4x = -9 Add '-4x' to each side of the equation. 2i + 4x + -4x = -9 + -4x Combine like terms: 4x + -4x = 0 2i + 0 = -9 + -4x 2i = -9 + -4x Divide each side by '2'. i = -4.5 + -2x Simplifying i = -4.5 + -2x
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