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Simplifying 7x + 3y = 6x + 5y Solving 7x + 3y = 6x + 5y 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. 7x + -6x + 3y = 6x + -6x + 5y Combine like terms: 7x + -6x = 1x 1x + 3y = 6x + -6x + 5y Combine like terms: 6x + -6x = 0 1x + 3y = 0 + 5y 1x + 3y = 5y Add '-3y' to each side of the equation. 1x + 3y + -3y = 5y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 5y + -3y 1x = 5y + -3y Combine like terms: 5y + -3y = 2y 1x = 2y Divide each side by '1'. x = 2y Simplifying x = 2y
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