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Simplifying 3x(2 + -1y) + y(1 + -1x) = 3x + -1(4 + 2y) (2 * 3x + -1y * 3x) + y(1 + -1x) = 3x + -1(4 + 2y) (6x + -3xy) + y(1 + -1x) = 3x + -1(4 + 2y) 6x + -3xy + (1 * y + -1x * y) = 3x + -1(4 + 2y) Reorder the terms: 6x + -3xy + (-1xy + 1y) = 3x + -1(4 + 2y) 6x + -3xy + (-1xy + 1y) = 3x + -1(4 + 2y) Combine like terms: -3xy + -1xy = -4xy 6x + -4xy + 1y = 3x + -1(4 + 2y) 6x + -4xy + 1y = 3x + (4 * -1 + 2y * -1) 6x + -4xy + 1y = 3x + (-4 + -2y) Reorder the terms: 6x + -4xy + 1y = -4 + 3x + -2y Solving 6x + -4xy + 1y = -4 + 3x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -4xy + -3x + 1y = -4 + 3x + -3x + -2y Reorder the terms: 6x + -3x + -4xy + 1y = -4 + 3x + -3x + -2y Combine like terms: 6x + -3x = 3x 3x + -4xy + 1y = -4 + 3x + -3x + -2y Combine like terms: 3x + -3x = 0 3x + -4xy + 1y = -4 + 0 + -2y 3x + -4xy + 1y = -4 + -2y Add '-1y' to each side of the equation. 3x + -4xy + 1y + -1y = -4 + -2y + -1y Combine like terms: 1y + -1y = 0 3x + -4xy + 0 = -4 + -2y + -1y 3x + -4xy = -4 + -2y + -1y Combine like terms: -2y + -1y = -3y 3x + -4xy = -4 + -3y Reorder the terms: 4 + 3x + -4xy + 3y = -4 + -3y + 4 + 3y Reorder the terms: 4 + 3x + -4xy + 3y = -4 + 4 + -3y + 3y Combine like terms: -4 + 4 = 0 4 + 3x + -4xy + 3y = 0 + -3y + 3y 4 + 3x + -4xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 4 + 3x + -4xy + 3y = 0 The solution to this equation could not be determined.
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