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Simplifying 0.25(8x + 1) = 12.25 Reorder the terms: 0.25(1 + 8x) = 12.25 (1 * 0.25 + 8x * 0.25) = 12.25 (0.25 + 2x) = 12.25 Solving 0.25 + 2x = 12.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 2x = 12.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 2x = 12.25 + -0.25 2x = 12.25 + -0.25 Combine like terms: 12.25 + -0.25 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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