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Simplifying 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 = -1y 1x = -1y Divide each side by '1'. x = -1y Simplifying x = -1y
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