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Simplifying 10x + y = 3x + 5y Solving 10x + y = 3x + 5y 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. 10x + -3x + y = 3x + -3x + 5y Combine like terms: 10x + -3x = 7x 7x + y = 3x + -3x + 5y Combine like terms: 3x + -3x = 0 7x + y = 0 + 5y 7x + y = 5y Add '-1y' to each side of the equation. 7x + y + -1y = 5y + -1y Combine like terms: y + -1y = 0 7x + 0 = 5y + -1y 7x = 5y + -1y Combine like terms: 5y + -1y = 4y 7x = 4y Divide each side by '7'. x = 0.5714285714y Simplifying x = 0.5714285714y
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