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Simplifying (9 + 8i) + -1(5 + 4i) = x Remove parenthesis around (9 + 8i) 9 + 8i + -1(5 + 4i) = x 9 + 8i + (5 * -1 + 4i * -1) = x 9 + 8i + (-5 + -4i) = x Reorder the terms: 9 + -5 + 8i + -4i = x Combine like terms: 9 + -5 = 4 4 + 8i + -4i = x Combine like terms: 8i + -4i = 4i 4 + 4i = x Solving 4 + 4i = x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4i = -4 + x Combine like terms: 4 + -4 = 0 0 + 4i = -4 + x 4i = -4 + x Divide each side by '4'. i = -1 + 0.25x Simplifying i = -1 + 0.25x
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