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Simplifying 0.67x + 0.167 = -2x + 7 Reorder the terms: 0.167 + 0.67x = -2x + 7 Reorder the terms: 0.167 + 0.67x = 7 + -2x Solving 0.167 + 0.67x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 0.167 + 0.67x + 2x = 7 + -2x + 2x Combine like terms: 0.67x + 2x = 2.67x 0.167 + 2.67x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 0.167 + 2.67x = 7 + 0 0.167 + 2.67x = 7 Add '-0.167' to each side of the equation. 0.167 + -0.167 + 2.67x = 7 + -0.167 Combine like terms: 0.167 + -0.167 = 0.000 0.000 + 2.67x = 7 + -0.167 2.67x = 7 + -0.167 Combine like terms: 7 + -0.167 = 6.833 2.67x = 6.833 Divide each side by '2.67'. x = 2.55917603 Simplifying x = 2.55917603
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