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Simplifying 0.35x + 0.20(230 + -1x) = 56.5 0.35x + (230 * 0.20 + -1x * 0.20) = 56.5 0.35x + (46 + -0.2x) = 56.5 Reorder the terms: 46 + 0.35x + -0.2x = 56.5 Combine like terms: 0.35x + -0.2x = 0.15x 46 + 0.15x = 56.5 Solving 46 + 0.15x = 56.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 0.15x = 56.5 + -46 Combine like terms: 46 + -46 = 0 0 + 0.15x = 56.5 + -46 0.15x = 56.5 + -46 Combine like terms: 56.5 + -46 = 10.5 0.15x = 10.5 Divide each side by '0.15'. x = 70 Simplifying x = 70
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