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Simplifying 0.15x + 0.10(270 + -1x) = 31 0.15x + (270 * 0.10 + -1x * 0.10) = 31 0.15x + (27 + -0.1x) = 31 Reorder the terms: 27 + 0.15x + -0.1x = 31 Combine like terms: 0.15x + -0.1x = 0.05x 27 + 0.05x = 31 Solving 27 + 0.05x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 0.05x = 31 + -27 Combine like terms: 27 + -27 = 0 0 + 0.05x = 31 + -27 0.05x = 31 + -27 Combine like terms: 31 + -27 = 4 0.05x = 4 Divide each side by '0.05'. x = 80 Simplifying x = 80
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