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Simplifying (2x + 1) + (1 + -3y) = -1 + -2i Reorder the terms: (1 + 2x) + (1 + -3y) = -1 + -2i Remove parenthesis around (1 + 2x) 1 + 2x + (1 + -3y) = -1 + -2i Remove parenthesis around (1 + -3y) 1 + 2x + 1 + -3y = -1 + -2i Reorder the terms: 1 + 1 + 2x + -3y = -1 + -2i Combine like terms: 1 + 1 = 2 2 + 2x + -3y = -1 + -2i Solving 2 + 2x + -3y = -1 + -2i 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 + 2x + -2 + -3y = -1 + -2 + -2i Reorder the terms: 2 + -2 + 2x + -3y = -1 + -2 + -2i Combine like terms: 2 + -2 = 0 0 + 2x + -3y = -1 + -2 + -2i 2x + -3y = -1 + -2 + -2i Combine like terms: -1 + -2 = -3 2x + -3y = -3 + -2i Add '3y' to each side of the equation. 2x + -3y + 3y = -3 + -2i + 3y Combine like terms: -3y + 3y = 0 2x + 0 = -3 + -2i + 3y 2x = -3 + -2i + 3y Divide each side by '2'. x = -1.5 + -1i + 1.5y Simplifying x = -1.5 + -1i + 1.5y
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