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Simplifying 0.2x + 0.45(50 + -1x) = 17.5 0.2x + (50 * 0.45 + -1x * 0.45) = 17.5 0.2x + (22.5 + -0.45x) = 17.5 Reorder the terms: 22.5 + 0.2x + -0.45x = 17.5 Combine like terms: 0.2x + -0.45x = -0.25x 22.5 + -0.25x = 17.5 Solving 22.5 + -0.25x = 17.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5' to each side of the equation. 22.5 + -22.5 + -0.25x = 17.5 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -0.25x = 17.5 + -22.5 -0.25x = 17.5 + -22.5 Combine like terms: 17.5 + -22.5 = -5 -0.25x = -5 Divide each side by '-0.25'. x = 20 Simplifying x = 20
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