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Simplifying 6(x + -1y) = 5(x + y) (x * 6 + -1y * 6) = 5(x + y) (6x + -6y) = 5(x + y) 6x + -6y = (x * 5 + y * 5) 6x + -6y = (5x + 5y) Solving 6x + -6y = 5x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6x + -5x + -6y = 5x + -5x + 5y Combine like terms: 6x + -5x = 1x 1x + -6y = 5x + -5x + 5y Combine like terms: 5x + -5x = 0 1x + -6y = 0 + 5y 1x + -6y = 5y Add '6y' to each side of the equation. 1x + -6y + 6y = 5y + 6y Combine like terms: -6y + 6y = 0 1x + 0 = 5y + 6y 1x = 5y + 6y Combine like terms: 5y + 6y = 11y 1x = 11y Divide each side by '1'. x = 11y Simplifying x = 11y
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