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Simplifying 0.60x + 0.25(210 + -1x) = 0.50x(210) 0.60x + (210 * 0.25 + -1x * 0.25) = 0.50x(210) 0.60x + (52.5 + -0.25x) = 0.50x(210) Reorder the terms: 52.5 + 0.60x + -0.25x = 0.50x(210) Combine like terms: 0.60x + -0.25x = 0.35x 52.5 + 0.35x = 0.50x(210) Reorder the terms for easier multiplication: 52.5 + 0.35x = 0.50 * 210x Multiply 0.50 * 210 52.5 + 0.35x = 105x Solving 52.5 + 0.35x = 105x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105x' to each side of the equation. 52.5 + 0.35x + -105x = 105x + -105x Combine like terms: 0.35x + -105x = -104.65x 52.5 + -104.65x = 105x + -105x Combine like terms: 105x + -105x = 0 52.5 + -104.65x = 0 Add '-52.5' to each side of the equation. 52.5 + -52.5 + -104.65x = 0 + -52.5 Combine like terms: 52.5 + -52.5 = 0.0 0.0 + -104.65x = 0 + -52.5 -104.65x = 0 + -52.5 Combine like terms: 0 + -52.5 = -52.5 -104.65x = -52.5 Divide each side by '-104.65'. x = 0.5016722408 Simplifying x = 0.5016722408
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