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Simplifying 8x + 12(2 + 3x) = 16(1 + 4x) 8x + (2 * 12 + 3x * 12) = 16(1 + 4x) 8x + (24 + 36x) = 16(1 + 4x) Reorder the terms: 24 + 8x + 36x = 16(1 + 4x) Combine like terms: 8x + 36x = 44x 24 + 44x = 16(1 + 4x) 24 + 44x = (1 * 16 + 4x * 16) 24 + 44x = (16 + 64x) Solving 24 + 44x = 16 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 24 + 44x + -64x = 16 + 64x + -64x Combine like terms: 44x + -64x = -20x 24 + -20x = 16 + 64x + -64x Combine like terms: 64x + -64x = 0 24 + -20x = 16 + 0 24 + -20x = 16 Add '-24' to each side of the equation. 24 + -24 + -20x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + -20x = 16 + -24 -20x = 16 + -24 Combine like terms: 16 + -24 = -8 -20x = -8 Divide each side by '-20'. x = 0.4 Simplifying x = 0.4
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