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Simplifying 0.2x + 8 = -0.6666667x + -2 Reorder the terms: 8 + 0.2x = -0.6666667x + -2 Reorder the terms: 8 + 0.2x = -2 + -0.6666667x Solving 8 + 0.2x = -2 + -0.6666667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666667x' to each side of the equation. 8 + 0.2x + 0.6666667x = -2 + -0.6666667x + 0.6666667x Combine like terms: 0.2x + 0.6666667x = 0.8666667x 8 + 0.8666667x = -2 + -0.6666667x + 0.6666667x Combine like terms: -0.6666667x + 0.6666667x = 0.0000000 8 + 0.8666667x = -2 + 0.0000000 8 + 0.8666667x = -2 Add '-8' to each side of the equation. 8 + -8 + 0.8666667x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 0.8666667x = -2 + -8 0.8666667x = -2 + -8 Combine like terms: -2 + -8 = -10 0.8666667x = -10 Divide each side by '0.8666667'. x = -11.53846109 Simplifying x = -11.53846109
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