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Simplifying 7x + 5y = 5x + 7y Solving 7x + 5y = 5x + 7y 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. 7x + -5x + 5y = 5x + -5x + 7y Combine like terms: 7x + -5x = 2x 2x + 5y = 5x + -5x + 7y Combine like terms: 5x + -5x = 0 2x + 5y = 0 + 7y 2x + 5y = 7y Add '-5y' to each side of the equation. 2x + 5y + -5y = 7y + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 7y + -5y 2x = 7y + -5y Combine like terms: 7y + -5y = 2y 2x = 2y Divide each side by '2'. x = y Simplifying x = y
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