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Simplifying (14 + 9i) + -1(2x + 3i) = 0 Remove parenthesis around (14 + 9i) 14 + 9i + -1(2x + 3i) = 0 Reorder the terms: 14 + 9i + -1(3i + 2x) = 0 14 + 9i + (3i * -1 + 2x * -1) = 0 14 + 9i + (-3i + -2x) = 0 Combine like terms: 9i + -3i = 6i 14 + 6i + -2x = 0 Solving 14 + 6i + -2x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 6i + -14 + -2x = 0 + -14 Reorder the terms: 14 + -14 + 6i + -2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6i + -2x = 0 + -14 6i + -2x = 0 + -14 Combine like terms: 0 + -14 = -14 6i + -2x = -14 Add '2x' to each side of the equation. 6i + -2x + 2x = -14 + 2x Combine like terms: -2x + 2x = 0 6i + 0 = -14 + 2x 6i = -14 + 2x Divide each side by '6'. i = -2.333333333 + 0.3333333333x Simplifying i = -2.333333333 + 0.3333333333x
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