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Simplifying 2(3x + 12) = 4(8x + 3) Reorder the terms: 2(12 + 3x) = 4(8x + 3) (12 * 2 + 3x * 2) = 4(8x + 3) (24 + 6x) = 4(8x + 3) Reorder the terms: 24 + 6x = 4(3 + 8x) 24 + 6x = (3 * 4 + 8x * 4) 24 + 6x = (12 + 32x) Solving 24 + 6x = 12 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 24 + 6x + -32x = 12 + 32x + -32x Combine like terms: 6x + -32x = -26x 24 + -26x = 12 + 32x + -32x Combine like terms: 32x + -32x = 0 24 + -26x = 12 + 0 24 + -26x = 12 Add '-24' to each side of the equation. 24 + -24 + -26x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -26x = 12 + -24 -26x = 12 + -24 Combine like terms: 12 + -24 = -12 -26x = -12 Divide each side by '-26'. x = 0.4615384615 Simplifying x = 0.4615384615
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