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Simplifying (8x + 5y + 2(23 + -1x + -1y)) = 23 (8x + 5y + (23 * 2 + -1x * 2 + -1y * 2)) = 23 (8x + 5y + (46 + -2x + -2y)) = 23 Reorder the terms: (46 + 8x + -2x + 5y + -2y) = 23 Combine like terms: 8x + -2x = 6x (46 + 6x + 5y + -2y) = 23 Combine like terms: 5y + -2y = 3y (46 + 6x + 3y) = 23 Remove parenthesis around (46 + 6x + 3y) 46 + 6x + 3y = 23 Solving 46 + 6x + 3y = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + 6x + -46 + 3y = 23 + -46 Reorder the terms: 46 + -46 + 6x + 3y = 23 + -46 Combine like terms: 46 + -46 = 0 0 + 6x + 3y = 23 + -46 6x + 3y = 23 + -46 Combine like terms: 23 + -46 = -23 6x + 3y = -23 Add '-3y' to each side of the equation. 6x + 3y + -3y = -23 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = -23 + -3y 6x = -23 + -3y Divide each side by '6'. x = -3.833333333 + -0.5y Simplifying x = -3.833333333 + -0.5y
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