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Simplifying 2(3x + 4y) = 4x + 12y (3x * 2 + 4y * 2) = 4x + 12y (6x + 8y) = 4x + 12y Solving 6x + 8y = 4x + 12y 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 + 8y = 4x + -4x + 12y Combine like terms: 6x + -4x = 2x 2x + 8y = 4x + -4x + 12y Combine like terms: 4x + -4x = 0 2x + 8y = 0 + 12y 2x + 8y = 12y Add '-8y' to each side of the equation. 2x + 8y + -8y = 12y + -8y Combine like terms: 8y + -8y = 0 2x + 0 = 12y + -8y 2x = 12y + -8y Combine like terms: 12y + -8y = 4y 2x = 4y Divide each side by '2'. x = 2y Simplifying x = 2y
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