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Simplifying 6(3x + 4y) = 12x + 32y (3x * 6 + 4y * 6) = 12x + 32y (18x + 24y) = 12x + 32y Solving 18x + 24y = 12x + 32y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18x + -12x + 24y = 12x + -12x + 32y Combine like terms: 18x + -12x = 6x 6x + 24y = 12x + -12x + 32y Combine like terms: 12x + -12x = 0 6x + 24y = 0 + 32y 6x + 24y = 32y Add '-24y' to each side of the equation. 6x + 24y + -24y = 32y + -24y Combine like terms: 24y + -24y = 0 6x + 0 = 32y + -24y 6x = 32y + -24y Combine like terms: 32y + -24y = 8y 6x = 8y Divide each side by '6'. x = 1.333333333y Simplifying x = 1.333333333y
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