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Simplifying 2x + 1 + 0.5x = 0.66x + 3 + 0.66x Reorder the terms: 1 + 2x + 0.5x = 0.66x + 3 + 0.66x Combine like terms: 2x + 0.5x = 2.5x 1 + 2.5x = 0.66x + 3 + 0.66x Reorder the terms: 1 + 2.5x = 3 + 0.66x + 0.66x Combine like terms: 0.66x + 0.66x = 1.32x 1 + 2.5x = 3 + 1.32x Solving 1 + 2.5x = 3 + 1.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.32x' to each side of the equation. 1 + 2.5x + -1.32x = 3 + 1.32x + -1.32x Combine like terms: 2.5x + -1.32x = 1.18x 1 + 1.18x = 3 + 1.32x + -1.32x Combine like terms: 1.32x + -1.32x = 0.00 1 + 1.18x = 3 + 0.00 1 + 1.18x = 3 Add '-1' to each side of the equation. 1 + -1 + 1.18x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1.18x = 3 + -1 1.18x = 3 + -1 Combine like terms: 3 + -1 = 2 1.18x = 2 Divide each side by '1.18'. x = 1.694915254 Simplifying x = 1.694915254
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