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Simplifying 0.25x + 0.10(117 + -1x) = 15.75 0.25x + (117 * 0.10 + -1x * 0.10) = 15.75 0.25x + (11.7 + -0.1x) = 15.75 Reorder the terms: 11.7 + 0.25x + -0.1x = 15.75 Combine like terms: 0.25x + -0.1x = 0.15x 11.7 + 0.15x = 15.75 Solving 11.7 + 0.15x = 15.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.7' to each side of the equation. 11.7 + -11.7 + 0.15x = 15.75 + -11.7 Combine like terms: 11.7 + -11.7 = 0.0 0.0 + 0.15x = 15.75 + -11.7 0.15x = 15.75 + -11.7 Combine like terms: 15.75 + -11.7 = 4.05 0.15x = 4.05 Divide each side by '0.15'. x = 27 Simplifying x = 27
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