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Simplifying (3x + 4) + (5y + -1) = 10 + -16i Reorder the terms: (4 + 3x) + (5y + -1) = 10 + -16i Remove parenthesis around (4 + 3x) 4 + 3x + (5y + -1) = 10 + -16i Reorder the terms: 4 + 3x + (-1 + 5y) = 10 + -16i Remove parenthesis around (-1 + 5y) 4 + 3x + -1 + 5y = 10 + -16i Reorder the terms: 4 + -1 + 3x + 5y = 10 + -16i Combine like terms: 4 + -1 = 3 3 + 3x + 5y = 10 + -16i Solving 3 + 3x + 5y = 10 + -16i Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3x + -3 + 5y = 10 + -3 + -16i Reorder the terms: 3 + -3 + 3x + 5y = 10 + -3 + -16i Combine like terms: 3 + -3 = 0 0 + 3x + 5y = 10 + -3 + -16i 3x + 5y = 10 + -3 + -16i Combine like terms: 10 + -3 = 7 3x + 5y = 7 + -16i Add '-5y' to each side of the equation. 3x + 5y + -5y = 7 + -16i + -5y Combine like terms: 5y + -5y = 0 3x + 0 = 7 + -16i + -5y 3x = 7 + -16i + -5y Divide each side by '3'. x = 2.333333333 + -5.333333333i + -1.666666667y Simplifying x = 2.333333333 + -5.333333333i + -1.666666667y
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