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Simplifying 0.1x + 0.3(100 + -1x) = 0.25 0.1x + (100 * 0.3 + -1x * 0.3) = 0.25 0.1x + (30 + -0.3x) = 0.25 Reorder the terms: 30 + 0.1x + -0.3x = 0.25 Combine like terms: 0.1x + -0.3x = -0.2x 30 + -0.2x = 0.25 Solving 30 + -0.2x = 0.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -0.2x = 0.25 + -30 Combine like terms: 30 + -30 = 0 0 + -0.2x = 0.25 + -30 -0.2x = 0.25 + -30 Combine like terms: 0.25 + -30 = -29.75 -0.2x = -29.75 Divide each side by '-0.2'. x = 148.75 Simplifying x = 148.75
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