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Simplifying (3 + -5i) + x = 2 + 7i Remove parenthesis around (3 + -5i) 3 + -5i + x = 2 + 7i Solving 3 + -5i + x = 2 + 7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. 3 + -5i + -7i + x = 2 + 7i + -7i Combine like terms: -5i + -7i = -12i 3 + -12i + x = 2 + 7i + -7i Combine like terms: 7i + -7i = 0 3 + -12i + x = 2 + 0 3 + -12i + x = 2 Add '-3' to each side of the equation. 3 + -12i + -3 + x = 2 + -3 Reorder the terms: 3 + -3 + -12i + x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -12i + x = 2 + -3 -12i + x = 2 + -3 Combine like terms: 2 + -3 = -1 -12i + x = -1 Add '-1x' to each side of the equation. -12i + x + -1x = -1 + -1x Combine like terms: x + -1x = 0 -12i + 0 = -1 + -1x -12i = -1 + -1x Divide each side by '-12'. i = 0.08333333333 + 0.08333333333x Simplifying i = 0.08333333333 + 0.08333333333x
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