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Simplifying 0.67x + 6 = -1.33x + 9 Reorder the terms: 6 + 0.67x = -1.33x + 9 Reorder the terms: 6 + 0.67x = 9 + -1.33x Solving 6 + 0.67x = 9 + -1.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.33x' to each side of the equation. 6 + 0.67x + 1.33x = 9 + -1.33x + 1.33x Combine like terms: 0.67x + 1.33x = 2x 6 + 2x = 9 + -1.33x + 1.33x Combine like terms: -1.33x + 1.33x = 0.00 6 + 2x = 9 + 0.00 6 + 2x = 9 Add '-6' to each side of the equation. 6 + -6 + 2x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 9 + -6 2x = 9 + -6 Combine like terms: 9 + -6 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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