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Simplifying -0.25x + 6 = 0.67x + 28 Reorder the terms: 6 + -0.25x = 0.67x + 28 Reorder the terms: 6 + -0.25x = 28 + 0.67x Solving 6 + -0.25x = 28 + 0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.67x' to each side of the equation. 6 + -0.25x + -0.67x = 28 + 0.67x + -0.67x Combine like terms: -0.25x + -0.67x = -0.92x 6 + -0.92x = 28 + 0.67x + -0.67x Combine like terms: 0.67x + -0.67x = 0.00 6 + -0.92x = 28 + 0.00 6 + -0.92x = 28 Add '-6' to each side of the equation. 6 + -6 + -0.92x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -0.92x = 28 + -6 -0.92x = 28 + -6 Combine like terms: 28 + -6 = 22 -0.92x = 22 Divide each side by '-0.92'. x = -23.91304348 Simplifying x = -23.91304348
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