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Simplifying (x + -1(2 + -3i)) = 0 (x + (2 * -1 + -3i * -1)) = 0 (x + (-2 + 3i)) = 0 Reorder the terms: (-2 + 3i + x) = 0 Remove parenthesis around (-2 + 3i + x) -2 + 3i + x = 0 Solving -2 + 3i + x = 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 + 3i + 2 + x = 0 + 2 Reorder the terms: -2 + 2 + 3i + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3i + x = 0 + 2 3i + x = 0 + 2 Combine like terms: 0 + 2 = 2 3i + x = 2 Add '-1x' to each side of the equation. 3i + x + -1x = 2 + -1x Combine like terms: x + -1x = 0 3i + 0 = 2 + -1x 3i = 2 + -1x Divide each side by '3'. i = 0.6666666667 + -0.3333333333x Simplifying i = 0.6666666667 + -0.3333333333x
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