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Simplifying 0.6667(2X + 7) = 2(1 + -2X) + 8 Reorder the terms: 0.6667(7 + 2X) = 2(1 + -2X) + 8 (7 * 0.6667 + 2X * 0.6667) = 2(1 + -2X) + 8 (4.6669 + 1.3334X) = 2(1 + -2X) + 8 4.6669 + 1.3334X = (1 * 2 + -2X * 2) + 8 4.6669 + 1.3334X = (2 + -4X) + 8 Reorder the terms: 4.6669 + 1.3334X = 2 + 8 + -4X Combine like terms: 2 + 8 = 10 4.6669 + 1.3334X = 10 + -4X Solving 4.6669 + 1.3334X = 10 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. 4.6669 + 1.3334X + 4X = 10 + -4X + 4X Combine like terms: 1.3334X + 4X = 5.3334X 4.6669 + 5.3334X = 10 + -4X + 4X Combine like terms: -4X + 4X = 0 4.6669 + 5.3334X = 10 + 0 4.6669 + 5.3334X = 10 Add '-4.6669' to each side of the equation. 4.6669 + -4.6669 + 5.3334X = 10 + -4.6669 Combine like terms: 4.6669 + -4.6669 = 0.0000 0.0000 + 5.3334X = 10 + -4.6669 5.3334X = 10 + -4.6669 Combine like terms: 10 + -4.6669 = 5.3331 5.3334X = 5.3331 Divide each side by '5.3334'. X = 0.9999437507 Simplifying X = 0.9999437507
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