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Simplifying 2(5x + -5) + (5y + 5) = (6x + 50) + (7y + -9) Reorder the terms: 2(-5 + 5x) + (5y + 5) = (6x + 50) + (7y + -9) (-5 * 2 + 5x * 2) + (5y + 5) = (6x + 50) + (7y + -9) (-10 + 10x) + (5y + 5) = (6x + 50) + (7y + -9) Reorder the terms: -10 + 10x + (5 + 5y) = (6x + 50) + (7y + -9) Remove parenthesis around (5 + 5y) -10 + 10x + 5 + 5y = (6x + 50) + (7y + -9) Reorder the terms: -10 + 5 + 10x + 5y = (6x + 50) + (7y + -9) Combine like terms: -10 + 5 = -5 -5 + 10x + 5y = (6x + 50) + (7y + -9) Reorder the terms: -5 + 10x + 5y = (50 + 6x) + (7y + -9) Remove parenthesis around (50 + 6x) -5 + 10x + 5y = 50 + 6x + (7y + -9) Reorder the terms: -5 + 10x + 5y = 50 + 6x + (-9 + 7y) Remove parenthesis around (-9 + 7y) -5 + 10x + 5y = 50 + 6x + -9 + 7y Reorder the terms: -5 + 10x + 5y = 50 + -9 + 6x + 7y Combine like terms: 50 + -9 = 41 -5 + 10x + 5y = 41 + 6x + 7y Solving -5 + 10x + 5y = 41 + 6x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 10x + -6x + 5y = 41 + 6x + -6x + 7y Combine like terms: 10x + -6x = 4x -5 + 4x + 5y = 41 + 6x + -6x + 7y Combine like terms: 6x + -6x = 0 -5 + 4x + 5y = 41 + 0 + 7y -5 + 4x + 5y = 41 + 7y Add '5' to each side of the equation. -5 + 4x + 5 + 5y = 41 + 5 + 7y Reorder the terms: -5 + 5 + 4x + 5y = 41 + 5 + 7y Combine like terms: -5 + 5 = 0 0 + 4x + 5y = 41 + 5 + 7y 4x + 5y = 41 + 5 + 7y Combine like terms: 41 + 5 = 46 4x + 5y = 46 + 7y Add '-5y' to each side of the equation. 4x + 5y + -5y = 46 + 7y + -5y Combine like terms: 5y + -5y = 0 4x + 0 = 46 + 7y + -5y 4x = 46 + 7y + -5y Combine like terms: 7y + -5y = 2y 4x = 46 + 2y Divide each side by '4'. x = 11.5 + 0.5y Simplifying x = 11.5 + 0.5y
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