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Simplifying 3(2x + y) = 2(2x + y) (2x * 3 + y * 3) = 2(2x + y) (6x + 3y) = 2(2x + y) 6x + 3y = (2x * 2 + y * 2) 6x + 3y = (4x + 2y) Solving 6x + 3y = 4x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6x + -4x + 3y = 4x + -4x + 2y Combine like terms: 6x + -4x = 2x 2x + 3y = 4x + -4x + 2y Combine like terms: 4x + -4x = 0 2x + 3y = 0 + 2y 2x + 3y = 2y Add '-3y' to each side of the equation. 2x + 3y + -3y = 2y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 2y + -3y 2x = 2y + -3y Combine like terms: 2y + -3y = -1y 2x = -1y Divide each side by '2'. x = -0.5y Simplifying x = -0.5y
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