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Simplifying (3x + -2) + (2y) = 13 + -6i Reorder the terms: (-2 + 3x) + (2y) = 13 + -6i Remove parenthesis around (-2 + 3x) -2 + 3x + (2y) = 13 + -6i Solving -2 + 3x + (2y) = 13 + -6i Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3x + 2 + (2y) = 13 + 2 + -6i Reorder the terms: -2 + 2 + 3x + (2y) = 13 + 2 + -6i Combine like terms: -2 + 2 = 0 0 + 3x + (2y) = 13 + 2 + -6i 3x + (2y) = 13 + 2 + -6i Combine like terms: 13 + 2 = 15 3x + (2y) = 15 + -6i Add '(-2y)' to each side of the equation. 3x + (2y) + (-2y) = 15 + -6i + (-2y) Combine like terms: (2y) + (-2y) = 0 3x + 0 = 15 + -6i + (-2y) 3x = 15 + -6i + (-2y) Divide each side by '3'. x = 5 + -2i + (-0.6666666667y) Simplifying x = 5 + -2i + (-0.6666666667y)
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