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Simplifying 0.25x + 0.10(9 + -1x) = 2.5 0.25x + (9 * 0.10 + -1x * 0.10) = 2.5 0.25x + (0.9 + -0.1x) = 2.5 Reorder the terms: 0.9 + 0.25x + -0.1x = 2.5 Combine like terms: 0.25x + -0.1x = 0.15x 0.9 + 0.15x = 2.5 Solving 0.9 + 0.15x = 2.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.15x = 2.5 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.15x = 2.5 + -0.9 0.15x = 2.5 + -0.9 Combine like terms: 2.5 + -0.9 = 1.6 0.15x = 1.6 Divide each side by '0.15'. x = 10.66666667 Simplifying x = 10.66666667
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