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