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Simplifying 1.67x + -2 = 2.5x + -8 Reorder the terms: -2 + 1.67x = 2.5x + -8 Reorder the terms: -2 + 1.67x = -8 + 2.5x Solving -2 + 1.67x = -8 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -2 + 1.67x + -2.5x = -8 + 2.5x + -2.5x Combine like terms: 1.67x + -2.5x = -0.83x -2 + -0.83x = -8 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -2 + -0.83x = -8 + 0.0 -2 + -0.83x = -8 Add '2' to each side of the equation. -2 + 2 + -0.83x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -0.83x = -8 + 2 -0.83x = -8 + 2 Combine like terms: -8 + 2 = -6 -0.83x = -6 Divide each side by '-0.83'. x = 7.228915663 Simplifying x = 7.228915663
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