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Simplifying 2x + 1 + 0.5x = 0.67x + 3 + 0.67x Reorder the terms: 1 + 2x + 0.5x = 0.67x + 3 + 0.67x Combine like terms: 2x + 0.5x = 2.5x 1 + 2.5x = 0.67x + 3 + 0.67x Reorder the terms: 1 + 2.5x = 3 + 0.67x + 0.67x Combine like terms: 0.67x + 0.67x = 1.34x 1 + 2.5x = 3 + 1.34x Solving 1 + 2.5x = 3 + 1.34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.34x' to each side of the equation. 1 + 2.5x + -1.34x = 3 + 1.34x + -1.34x Combine like terms: 2.5x + -1.34x = 1.16x 1 + 1.16x = 3 + 1.34x + -1.34x Combine like terms: 1.34x + -1.34x = 0.00 1 + 1.16x = 3 + 0.00 1 + 1.16x = 3 Add '-1' to each side of the equation. 1 + -1 + 1.16x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1.16x = 3 + -1 1.16x = 3 + -1 Combine like terms: 3 + -1 = 2 1.16x = 2 Divide each side by '1.16'. x = 1.724137931 Simplifying x = 1.724137931
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