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Simplifying 0.67x + -0.167 = 0.5x + 0.8333 Reorder the terms: -0.167 + 0.67x = 0.5x + 0.8333 Reorder the terms: -0.167 + 0.67x = 0.8333 + 0.5x Solving -0.167 + 0.67x = 0.8333 + 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 = 0.8333 + 0.5x + -0.5x Combine like terms: 0.67x + -0.5x = 0.17x -0.167 + 0.17x = 0.8333 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.167 + 0.17x = 0.8333 + 0.0 -0.167 + 0.17x = 0.8333 Add '0.167' to each side of the equation. -0.167 + 0.167 + 0.17x = 0.8333 + 0.167 Combine like terms: -0.167 + 0.167 = 0.000 0.000 + 0.17x = 0.8333 + 0.167 0.17x = 0.8333 + 0.167 Combine like terms: 0.8333 + 0.167 = 1.0003 0.17x = 1.0003 Divide each side by '0.17'. x = 5.884117647 Simplifying x = 5.884117647
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