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Simplifying 0.25x + 6 = 0.6666x + 28 Reorder the terms: 6 + 0.25x = 0.6666x + 28 Reorder the terms: 6 + 0.25x = 28 + 0.6666x Solving 6 + 0.25x = 28 + 0.6666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666x' to each side of the equation. 6 + 0.25x + -0.6666x = 28 + 0.6666x + -0.6666x Combine like terms: 0.25x + -0.6666x = -0.4166x 6 + -0.4166x = 28 + 0.6666x + -0.6666x Combine like terms: 0.6666x + -0.6666x = 0.0000 6 + -0.4166x = 28 + 0.0000 6 + -0.4166x = 28 Add '-6' to each side of the equation. 6 + -6 + -0.4166x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -0.4166x = 28 + -6 -0.4166x = 28 + -6 Combine like terms: 28 + -6 = 22 -0.4166x = 22 Divide each side by '-0.4166'. x = -52.80844935 Simplifying x = -52.80844935
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