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Simplifying (7 + 3i) + (-8 + 9i) = x Remove parenthesis around (7 + 3i) 7 + 3i + (-8 + 9i) = x Remove parenthesis around (-8 + 9i) 7 + 3i + -8 + 9i = x Reorder the terms: 7 + -8 + 3i + 9i = x Combine like terms: 7 + -8 = -1 -1 + 3i + 9i = x Combine like terms: 3i + 9i = 12i -1 + 12i = x Solving -1 + 12i = x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12i = 1 + x Combine like terms: -1 + 1 = 0 0 + 12i = 1 + x 12i = 1 + x Divide each side by '12'. i = 0.08333333333 + 0.08333333333x Simplifying i = 0.08333333333 + 0.08333333333x
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