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Simplifying (4 + 3j) + (5 + -1j) = x Remove parenthesis around (4 + 3j) 4 + 3j + (5 + -1j) = x Remove parenthesis around (5 + -1j) 4 + 3j + 5 + -1j = x Reorder the terms: 4 + 5 + 3j + -1j = x Combine like terms: 4 + 5 = 9 9 + 3j + -1j = x Combine like terms: 3j + -1j = 2j 9 + 2j = x Solving 9 + 2j = x Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2j = -9 + x Combine like terms: 9 + -9 = 0 0 + 2j = -9 + x 2j = -9 + x Divide each side by '2'. j = -4.5 + 0.5x Simplifying j = -4.5 + 0.5x
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