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Simplifying (7 + -2i) + X = 6i Remove parenthesis around (7 + -2i) 7 + -2i + X = 6i Reorder the terms: 7 + X + -2i = 6i Solving 7 + X + -2i = 6i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + X + -7 + -2i = -7 + 6i Reorder the terms: 7 + -7 + X + -2i = -7 + 6i Combine like terms: 7 + -7 = 0 0 + X + -2i = -7 + 6i X + -2i = -7 + 6i Add '2i' to each side of the equation. X + -2i + 2i = -7 + 6i + 2i Combine like terms: -2i + 2i = 0 X + 0 = -7 + 6i + 2i X = -7 + 6i + 2i Combine like terms: 6i + 2i = 8i X = -7 + 8i Simplifying X = -7 + 8i
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