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Simplifying 0.50x + 0.15(210 + -1x) = 0.40(210) 0.50x + (210 * 0.15 + -1x * 0.15) = 0.40(210) 0.50x + (31.5 + -0.15x) = 0.40(210) Reorder the terms: 31.5 + 0.50x + -0.15x = 0.40(210) Combine like terms: 0.50x + -0.15x = 0.35x 31.5 + 0.35x = 0.40(210) Multiply 0.40 * 210 31.5 + 0.35x = 84 Solving 31.5 + 0.35x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31.5' to each side of the equation. 31.5 + -31.5 + 0.35x = 84 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + 0.35x = 84 + -31.5 0.35x = 84 + -31.5 Combine like terms: 84 + -31.5 = 52.5 0.35x = 52.5 Divide each side by '0.35'. x = 150 Simplifying x = 150
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