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Simplifying 0.1x + 0.25(20 + -1x) = 38.75 0.1x + (20 * 0.25 + -1x * 0.25) = 38.75 0.1x + (5 + -0.25x) = 38.75 Reorder the terms: 5 + 0.1x + -0.25x = 38.75 Combine like terms: 0.1x + -0.25x = -0.15x 5 + -0.15x = 38.75 Solving 5 + -0.15x = 38.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -0.15x = 38.75 + -5 Combine like terms: 5 + -5 = 0 0 + -0.15x = 38.75 + -5 -0.15x = 38.75 + -5 Combine like terms: 38.75 + -5 = 33.75 -0.15x = 33.75 Divide each side by '-0.15'. x = -225 Simplifying x = -225
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