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Simplifying (4 + -5i) + X = (-8 + 1) Remove parenthesis around (4 + -5i) 4 + -5i + X = (-8 + 1) Reorder the terms: 4 + X + -5i = (-8 + 1) Combine like terms: -8 + 1 = -7 4 + X + -5i = (-7) 4 + X + -5i = -7 Solving 4 + X + -5i = -7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + X + -4 + -5i = -7 + -4 Reorder the terms: 4 + -4 + X + -5i = -7 + -4 Combine like terms: 4 + -4 = 0 0 + X + -5i = -7 + -4 X + -5i = -7 + -4 Combine like terms: -7 + -4 = -11 X + -5i = -11 Add '5i' to each side of the equation. X + -5i + 5i = -11 + 5i Combine like terms: -5i + 5i = 0 X + 0 = -11 + 5i X = -11 + 5i Simplifying X = -11 + 5i
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