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Simplifying 0.4x + 0.25(82 + -1x) = 27.88 0.4x + (82 * 0.25 + -1x * 0.25) = 27.88 0.4x + (20.5 + -0.25x) = 27.88 Reorder the terms: 20.5 + 0.4x + -0.25x = 27.88 Combine like terms: 0.4x + -0.25x = 0.15x 20.5 + 0.15x = 27.88 Solving 20.5 + 0.15x = 27.88 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20.5' to each side of the equation. 20.5 + -20.5 + 0.15x = 27.88 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + 0.15x = 27.88 + -20.5 0.15x = 27.88 + -20.5 Combine like terms: 27.88 + -20.5 = 7.38 0.15x = 7.38 Divide each side by '0.15'. x = 49.2 Simplifying x = 49.2
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