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Simplifying 8(x + 3) = 12(1 + -1x) Reorder the terms: 8(3 + x) = 12(1 + -1x) (3 * 8 + x * 8) = 12(1 + -1x) (24 + 8x) = 12(1 + -1x) 24 + 8x = (1 * 12 + -1x * 12) 24 + 8x = (12 + -12x) Solving 24 + 8x = 12 + -12x 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. 24 + 8x + 12x = 12 + -12x + 12x Combine like terms: 8x + 12x = 20x 24 + 20x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + 20x = 12 + 0 24 + 20x = 12 Add '-24' to each side of the equation. 24 + -24 + 20x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = 12 + -24 20x = 12 + -24 Combine like terms: 12 + -24 = -12 20x = -12 Divide each side by '20'. x = -0.6 Simplifying x = -0.6
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