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Simplifying 0.5x + 0.25(10 + -1x) = 6 0.5x + (10 * 0.25 + -1x * 0.25) = 6 0.5x + (2.5 + -0.25x) = 6 Reorder the terms: 2.5 + 0.5x + -0.25x = 6 Combine like terms: 0.5x + -0.25x = 0.25x 2.5 + 0.25x = 6 Solving 2.5 + 0.25x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.25x = 6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.25x = 6 + -2.5 0.25x = 6 + -2.5 Combine like terms: 6 + -2.5 = 3.5 0.25x = 3.5 Divide each side by '0.25'. x = 14 Simplifying x = 14
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