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Simplifying 0.25x + 0.10(275 + -1x) = 51.5 0.25x + (275 * 0.10 + -1x * 0.10) = 51.5 0.25x + (27.5 + -0.1x) = 51.5 Reorder the terms: 27.5 + 0.25x + -0.1x = 51.5 Combine like terms: 0.25x + -0.1x = 0.15x 27.5 + 0.15x = 51.5 Solving 27.5 + 0.15x = 51.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27.5' to each side of the equation. 27.5 + -27.5 + 0.15x = 51.5 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + 0.15x = 51.5 + -27.5 0.15x = 51.5 + -27.5 Combine like terms: 51.5 + -27.5 = 24 0.15x = 24 Divide each side by '0.15'. x = 160 Simplifying x = 160
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