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Simplifying 0.10x + 0.25(100 + -1x) = 19.75 0.10x + (100 * 0.25 + -1x * 0.25) = 19.75 0.10x + (25 + -0.25x) = 19.75 Reorder the terms: 25 + 0.10x + -0.25x = 19.75 Combine like terms: 0.10x + -0.25x = -0.15x 25 + -0.15x = 19.75 Solving 25 + -0.15x = 19.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -0.15x = 19.75 + -25 Combine like terms: 25 + -25 = 0 0 + -0.15x = 19.75 + -25 -0.15x = 19.75 + -25 Combine like terms: 19.75 + -25 = -5.25 -0.15x = -5.25 Divide each side by '-0.15'. x = 35 Simplifying x = 35
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