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Simplifying 5x + 6y = 3x + y Solving 5x + 6y = 3x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5x + -3x + 6y = 3x + -3x + y Combine like terms: 5x + -3x = 2x 2x + 6y = 3x + -3x + y Combine like terms: 3x + -3x = 0 2x + 6y = 0 + y 2x + 6y = y Add '-6y' to each side of the equation. 2x + 6y + -6y = y + -6y Combine like terms: 6y + -6y = 0 2x + 0 = y + -6y 2x = y + -6y Combine like terms: y + -6y = -5y 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5y
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