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Simplifying 8(1 + x) = 6(4 + -2x) (1 * 8 + x * 8) = 6(4 + -2x) (8 + 8x) = 6(4 + -2x) 8 + 8x = (4 * 6 + -2x * 6) 8 + 8x = (24 + -12x) Solving 8 + 8x = 24 + -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. 8 + 8x + 12x = 24 + -12x + 12x Combine like terms: 8x + 12x = 20x 8 + 20x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 20x = 24 + 0 8 + 20x = 24 Add '-8' to each side of the equation. 8 + -8 + 20x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 20x = 24 + -8 20x = 24 + -8 Combine like terms: 24 + -8 = 16 20x = 16 Divide each side by '20'. x = 0.8 Simplifying x = 0.8
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