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