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Simplifying 0.35x + 0.25(160 + -1x) = 0.29(160) 0.35x + (160 * 0.25 + -1x * 0.25) = 0.29(160) 0.35x + (40 + -0.25x) = 0.29(160) Reorder the terms: 40 + 0.35x + -0.25x = 0.29(160) Combine like terms: 0.35x + -0.25x = 0.1x 40 + 0.1x = 0.29(160) Multiply 0.29 * 160 40 + 0.1x = 46.4 Solving 40 + 0.1x = 46.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.1x = 46.4 + -40 Combine like terms: 40 + -40 = 0 0 + 0.1x = 46.4 + -40 0.1x = 46.4 + -40 Combine like terms: 46.4 + -40 = 6.4 0.1x = 6.4 Divide each side by '0.1'. x = 64 Simplifying x = 64
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