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Simplifying -0.25x + 6 = 0.667x + 28 Reorder the terms: 6 + -0.25x = 0.667x + 28 Reorder the terms: 6 + -0.25x = 28 + 0.667x Solving 6 + -0.25x = 28 + 0.667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.667x' to each side of the equation. 6 + -0.25x + -0.667x = 28 + 0.667x + -0.667x Combine like terms: -0.25x + -0.667x = -0.917x 6 + -0.917x = 28 + 0.667x + -0.667x Combine like terms: 0.667x + -0.667x = 0.000 6 + -0.917x = 28 + 0.000 6 + -0.917x = 28 Add '-6' to each side of the equation. 6 + -6 + -0.917x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -0.917x = 28 + -6 -0.917x = 28 + -6 Combine like terms: 28 + -6 = 22 -0.917x = 22 Divide each side by '-0.917'. x = -23.9912759 Simplifying x = -23.9912759
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