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Simplifying X + (2 + 4i) = 5 + 7i Remove parenthesis around (2 + 4i) X + 2 + 4i = 5 + 7i Reorder the terms: 2 + X + 4i = 5 + 7i Solving 2 + X + 4i = 5 + 7i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + X + -2 + 4i = 5 + -2 + 7i Reorder the terms: 2 + -2 + X + 4i = 5 + -2 + 7i Combine like terms: 2 + -2 = 0 0 + X + 4i = 5 + -2 + 7i X + 4i = 5 + -2 + 7i Combine like terms: 5 + -2 = 3 X + 4i = 3 + 7i Add '-4i' to each side of the equation. X + 4i + -4i = 3 + 7i + -4i Combine like terms: 4i + -4i = 0 X + 0 = 3 + 7i + -4i X = 3 + 7i + -4i Combine like terms: 7i + -4i = 3i X = 3 + 3i Simplifying X = 3 + 3i
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