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Simplifying 0.10 + 0.25(100 + -1x) = 19.75 0.10 + (100 * 0.25 + -1x * 0.25) = 19.75 0.10 + (25 + -0.25x) = 19.75 Combine like terms: 0.10 + 25 = 25.1 25.1 + -0.25x = 19.75 Solving 25.1 + -0.25x = 19.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25.1' to each side of the equation. 25.1 + -25.1 + -0.25x = 19.75 + -25.1 Combine like terms: 25.1 + -25.1 = 0.0 0.0 + -0.25x = 19.75 + -25.1 -0.25x = 19.75 + -25.1 Combine like terms: 19.75 + -25.1 = -5.35 -0.25x = -5.35 Divide each side by '-0.25'. x = 21.4 Simplifying x = 21.4
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