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Simplifying 0.35x + 0.10(260 + -1x) = 43.5 0.35x + (260 * 0.10 + -1x * 0.10) = 43.5 0.35x + (26 + -0.1x) = 43.5 Reorder the terms: 26 + 0.35x + -0.1x = 43.5 Combine like terms: 0.35x + -0.1x = 0.25x 26 + 0.25x = 43.5 Solving 26 + 0.25x = 43.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 0.25x = 43.5 + -26 Combine like terms: 26 + -26 = 0 0 + 0.25x = 43.5 + -26 0.25x = 43.5 + -26 Combine like terms: 43.5 + -26 = 17.5 0.25x = 17.5 Divide each side by '0.25'. x = 70 Simplifying x = 70
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