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Simplifying 3.1x + 1 = 0.5 + 0.5x Reorder the terms: 1 + 3.1x = 0.5 + 0.5x Solving 1 + 3.1x = 0.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1 + 3.1x + -0.5x = 0.5 + 0.5x + -0.5x Combine like terms: 3.1x + -0.5x = 2.6x 1 + 2.6x = 0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1 + 2.6x = 0.5 + 0.0 1 + 2.6x = 0.5 Add '-1' to each side of the equation. 1 + -1 + 2.6x = 0.5 + -1 Combine like terms: 1 + -1 = 0 0 + 2.6x = 0.5 + -1 2.6x = 0.5 + -1 Combine like terms: 0.5 + -1 = -0.5 2.6x = -0.5 Divide each side by '2.6'. x = -0.1923076923 Simplifying x = -0.1923076923
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