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Simplifying 10x + 2y = 5x + 6y Solving 10x + 2y = 5x + 6y 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. 10x + -5x + 2y = 5x + -5x + 6y Combine like terms: 10x + -5x = 5x 5x + 2y = 5x + -5x + 6y Combine like terms: 5x + -5x = 0 5x + 2y = 0 + 6y 5x + 2y = 6y Add '-2y' to each side of the equation. 5x + 2y + -2y = 6y + -2y Combine like terms: 2y + -2y = 0 5x + 0 = 6y + -2y 5x = 6y + -2y Combine like terms: 6y + -2y = 4y 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8y
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