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Simplifying 0.10(99 + -1x) + 0.25(x) = 12.75 (99 * 0.10 + -1x * 0.10) + 0.25(x) = 12.75 (9.9 + -0.1x) + 0.25(x) = 12.75 Combine like terms: -0.1x + 0.25x = 0.15x 9.9 + 0.15x = 12.75 Solving 9.9 + 0.15x = 12.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.9' to each side of the equation. 9.9 + -9.9 + 0.15x = 12.75 + -9.9 Combine like terms: 9.9 + -9.9 = 0.0 0.0 + 0.15x = 12.75 + -9.9 0.15x = 12.75 + -9.9 Combine like terms: 12.75 + -9.9 = 2.85 0.15x = 2.85 Divide each side by '0.15'. x = 19 Simplifying x = 19
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