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Simplifying 12(x + -3) = 6(4y + -6) Reorder the terms: 12(-3 + x) = 6(4y + -6) (-3 * 12 + x * 12) = 6(4y + -6) (-36 + 12x) = 6(4y + -6) Reorder the terms: -36 + 12x = 6(-6 + 4y) -36 + 12x = (-6 * 6 + 4y * 6) -36 + 12x = (-36 + 24y) Add '36' to each side of the equation. -36 + 36 + 12x = -36 + 36 + 24y Combine like terms: -36 + 36 = 0 0 + 12x = -36 + 36 + 24y 12x = -36 + 36 + 24y Combine like terms: -36 + 36 = 0 12x = 0 + 24y 12x = 24y Solving 12x = 24y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12'. x = 2y Simplifying x = 2y
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