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Simplifying 0.35x + 0.20(200 + -1x) = 0.65x 0.35x + (200 * 0.20 + -1x * 0.20) = 0.65x 0.35x + (40 + -0.2x) = 0.65x Reorder the terms: 40 + 0.35x + -0.2x = 0.65x Combine like terms: 0.35x + -0.2x = 0.15x 40 + 0.15x = 0.65x Solving 40 + 0.15x = 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 40 + 0.15x + -0.65x = 0.65x + -0.65x Combine like terms: 0.15x + -0.65x = -0.5x 40 + -0.5x = 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 40 + -0.5x = 0.00 Add '-40' to each side of the equation. 40 + -40 + -0.5x = 0.00 + -40 Combine like terms: 40 + -40 = 0 0 + -0.5x = 0.00 + -40 -0.5x = 0.00 + -40 Combine like terms: 0.00 + -40 = -40 -0.5x = -40 Divide each side by '-0.5'. x = 80 Simplifying x = 80
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