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Simplifying 0.67x + 0.167 = -0.5x + 1 Reorder the terms: 0.167 + 0.67x = -0.5x + 1 Reorder the terms: 0.167 + 0.67x = 1 + -0.5x Solving 0.167 + 0.67x = 1 + -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. 0.167 + 0.67x + 0.5x = 1 + -0.5x + 0.5x Combine like terms: 0.67x + 0.5x = 1.17x 0.167 + 1.17x = 1 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 0.167 + 1.17x = 1 + 0.0 0.167 + 1.17x = 1 Add '-0.167' to each side of the equation. 0.167 + -0.167 + 1.17x = 1 + -0.167 Combine like terms: 0.167 + -0.167 = 0.000 0.000 + 1.17x = 1 + -0.167 1.17x = 1 + -0.167 Combine like terms: 1 + -0.167 = 0.833 1.17x = 0.833 Divide each side by '1.17'. x = 0.711965812 Simplifying x = 0.711965812
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