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