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Simplifying (8 + -2i) + X = 4i Remove parenthesis around (8 + -2i) 8 + -2i + X = 4i Reorder the terms: 8 + X + -2i = 4i Solving 8 + X + -2i = 4i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + X + -8 + -2i = -8 + 4i Reorder the terms: 8 + -8 + X + -2i = -8 + 4i Combine like terms: 8 + -8 = 0 0 + X + -2i = -8 + 4i X + -2i = -8 + 4i Add '2i' to each side of the equation. X + -2i + 2i = -8 + 4i + 2i Combine like terms: -2i + 2i = 0 X + 0 = -8 + 4i + 2i X = -8 + 4i + 2i Combine like terms: 4i + 2i = 6i X = -8 + 6i Simplifying X = -8 + 6i
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