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Simplifying xy + (2x + 3) = 2x + 3y(1 + -1x) Reorder the terms: xy + (3 + 2x) = 2x + 3y(1 + -1x) Remove parenthesis around (3 + 2x) xy + 3 + 2x = 2x + 3y(1 + -1x) Reorder the terms: 3 + 2x + xy = 2x + 3y(1 + -1x) 3 + 2x + xy = 2x + (1 * 3y + -1x * 3y) Reorder the terms: 3 + 2x + xy = 2x + (-3xy + 3y) 3 + 2x + xy = 2x + (-3xy + 3y) Add '-2x' to each side of the equation. 3 + 2x + -2x + xy = 2x + -3xy + -2x + 3y Combine like terms: 2x + -2x = 0 3 + 0 + xy = 2x + -3xy + -2x + 3y 3 + xy = 2x + -3xy + -2x + 3y Reorder the terms: 3 + xy = 2x + -2x + -3xy + 3y Combine like terms: 2x + -2x = 0 3 + xy = 0 + -3xy + 3y 3 + xy = -3xy + 3y Solving 3 + xy = -3xy + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3xy' to each side of the equation. 3 + xy + 3xy = -3xy + 3xy + 3y Combine like terms: xy + 3xy = 4xy 3 + 4xy = -3xy + 3xy + 3y Combine like terms: -3xy + 3xy = 0 3 + 4xy = 0 + 3y 3 + 4xy = 3y Add '-3' to each side of the equation. 3 + -3 + 4xy = -3 + 3y Combine like terms: 3 + -3 = 0 0 + 4xy = -3 + 3y 4xy = -3 + 3y Divide each side by '4y'. x = -0.75y-1 + 0.75 Simplifying x = -0.75y-1 + 0.75 Reorder the terms: x = 0.75 + -0.75y-1
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