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Simplifying 2(x + -1y) = 3(x + y + 1) (x * 2 + -1y * 2) = 3(x + y + 1) (2x + -2y) = 3(x + y + 1) Reorder the terms: 2x + -2y = 3(1 + x + y) 2x + -2y = (1 * 3 + x * 3 + y * 3) 2x + -2y = (3 + 3x + 3y) Solving 2x + -2y = 3 + 3x + 3y 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. 2x + -3x + -2y = 3 + 3x + -3x + 3y Combine like terms: 2x + -3x = -1x -1x + -2y = 3 + 3x + -3x + 3y Combine like terms: 3x + -3x = 0 -1x + -2y = 3 + 0 + 3y -1x + -2y = 3 + 3y Add '2y' to each side of the equation. -1x + -2y + 2y = 3 + 3y + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = 3 + 3y + 2y -1x = 3 + 3y + 2y Combine like terms: 3y + 2y = 5y -1x = 3 + 5y Divide each side by '-1'. x = -3 + -5y Simplifying x = -3 + -5y
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