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Simplifying 0.15x + 0.25(1 + -1x) = x 0.15x + (1 * 0.25 + -1x * 0.25) = x 0.15x + (0.25 + -0.25x) = x Reorder the terms: 0.25 + 0.15x + -0.25x = x Combine like terms: 0.15x + -0.25x = -0.1x 0.25 + -0.1x = x Solving 0.25 + -0.1x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.25 + -0.1x + -1x = x + -1x Combine like terms: -0.1x + -1x = -1.1x 0.25 + -1.1x = x + -1x Combine like terms: x + -1x = 0 0.25 + -1.1x = 0 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -1.1x = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -1.1x = 0 + -0.25 -1.1x = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -1.1x = -0.25 Divide each side by '-1.1'. x = 0.2272727273 Simplifying x = 0.2272727273
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