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Simplifying 0.25(x + 6) = 1.66(x + 8) Reorder the terms: 0.25(6 + x) = 1.66(x + 8) (6 * 0.25 + x * 0.25) = 1.66(x + 8) (1.5 + 0.25x) = 1.66(x + 8) Reorder the terms: 1.5 + 0.25x = 1.66(8 + x) 1.5 + 0.25x = (8 * 1.66 + x * 1.66) 1.5 + 0.25x = (13.28 + 1.66x) Solving 1.5 + 0.25x = 13.28 + 1.66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.66x' to each side of the equation. 1.5 + 0.25x + -1.66x = 13.28 + 1.66x + -1.66x Combine like terms: 0.25x + -1.66x = -1.41x 1.5 + -1.41x = 13.28 + 1.66x + -1.66x Combine like terms: 1.66x + -1.66x = 0.00 1.5 + -1.41x = 13.28 + 0.00 1.5 + -1.41x = 13.28 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1.41x = 13.28 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.41x = 13.28 + -1.5 -1.41x = 13.28 + -1.5 Combine like terms: 13.28 + -1.5 = 11.78 -1.41x = 11.78 Divide each side by '-1.41'. x = -8.354609929 Simplifying x = -8.354609929
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