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Simplifying 0.67x + 0.167 = -3x + 4 Reorder the terms: 0.167 + 0.67x = -3x + 4 Reorder the terms: 0.167 + 0.67x = 4 + -3x Solving 0.167 + 0.67x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0.167 + 0.67x + 3x = 4 + -3x + 3x Combine like terms: 0.67x + 3x = 3.67x 0.167 + 3.67x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 0.167 + 3.67x = 4 + 0 0.167 + 3.67x = 4 Add '-0.167' to each side of the equation. 0.167 + -0.167 + 3.67x = 4 + -0.167 Combine like terms: 0.167 + -0.167 = 0.000 0.000 + 3.67x = 4 + -0.167 3.67x = 4 + -0.167 Combine like terms: 4 + -0.167 = 3.833 3.67x = 3.833 Divide each side by '3.67'. x = 1.044414169 Simplifying x = 1.044414169
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