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Simplifying 4x + y = 2(x + 3y) 4x + y = (x * 2 + 3y * 2) 4x + y = (2x + 6y) Solving 4x + y = 2x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4x + -2x + y = 2x + -2x + 6y Combine like terms: 4x + -2x = 2x 2x + y = 2x + -2x + 6y Combine like terms: 2x + -2x = 0 2x + y = 0 + 6y 2x + y = 6y Add '-1y' to each side of the equation. 2x + y + -1y = 6y + -1y Combine like terms: y + -1y = 0 2x + 0 = 6y + -1y 2x = 6y + -1y Combine like terms: 6y + -1y = 5y 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5y
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