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Simplifying 0.2x + -0.1666(x + -8) = 6x Reorder the terms: 0.2x + -0.1666(-8 + x) = 6x 0.2x + (-8 * -0.1666 + x * -0.1666) = 6x 0.2x + (1.3328 + -0.1666x) = 6x Reorder the terms: 1.3328 + 0.2x + -0.1666x = 6x Combine like terms: 0.2x + -0.1666x = 0.0334x 1.3328 + 0.0334x = 6x Solving 1.3328 + 0.0334x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1.3328 + 0.0334x + -6x = 6x + -6x Combine like terms: 0.0334x + -6x = -5.9666x 1.3328 + -5.9666x = 6x + -6x Combine like terms: 6x + -6x = 0 1.3328 + -5.9666x = 0 Add '-1.3328' to each side of the equation. 1.3328 + -1.3328 + -5.9666x = 0 + -1.3328 Combine like terms: 1.3328 + -1.3328 = 0.0000 0.0000 + -5.9666x = 0 + -1.3328 -5.9666x = 0 + -1.3328 Combine like terms: 0 + -1.3328 = -1.3328 -5.9666x = -1.3328 Divide each side by '-5.9666'. x = 0.2233767975 Simplifying x = 0.2233767975
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