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Simplifying 0.33x + 1 + -2x + 2 = 2.5 + -1x Reorder the terms: 1 + 2 + 0.33x + -2x = 2.5 + -1x Combine like terms: 1 + 2 = 3 3 + 0.33x + -2x = 2.5 + -1x Combine like terms: 0.33x + -2x = -1.67x 3 + -1.67x = 2.5 + -1x Solving 3 + -1.67x = 2.5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -1.67x + x = 2.5 + -1x + x Combine like terms: -1.67x + x = -0.67x 3 + -0.67x = 2.5 + -1x + x Combine like terms: -1x + x = 0 3 + -0.67x = 2.5 + 0 3 + -0.67x = 2.5 Add '-3' to each side of the equation. 3 + -3 + -0.67x = 2.5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.67x = 2.5 + -3 -0.67x = 2.5 + -3 Combine like terms: 2.5 + -3 = -0.5 -0.67x = -0.5 Divide each side by '-0.67'. x = 0.7462686567 Simplifying x = 0.7462686567
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