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Simplifying 3(2x + -2y) = 4(x + y) (2x * 3 + -2y * 3) = 4(x + y) (6x + -6y) = 4(x + y) 6x + -6y = (x * 4 + y * 4) 6x + -6y = (4x + 4y) Solving 6x + -6y = 4x + 4y 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 + -6y = 4x + -4x + 4y Combine like terms: 6x + -4x = 2x 2x + -6y = 4x + -4x + 4y Combine like terms: 4x + -4x = 0 2x + -6y = 0 + 4y 2x + -6y = 4y Add '6y' to each side of the equation. 2x + -6y + 6y = 4y + 6y Combine like terms: -6y + 6y = 0 2x + 0 = 4y + 6y 2x = 4y + 6y Combine like terms: 4y + 6y = 10y 2x = 10y Divide each side by '2'. x = 5y Simplifying x = 5y
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