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Simplifying 0.5x + 0.25(50 + -1x) = 170 0.5x + (50 * 0.25 + -1x * 0.25) = 170 0.5x + (12.5 + -0.25x) = 170 Reorder the terms: 12.5 + 0.5x + -0.25x = 170 Combine like terms: 0.5x + -0.25x = 0.25x 12.5 + 0.25x = 170 Solving 12.5 + 0.25x = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -12.5 + 0.25x = 170 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 0.25x = 170 + -12.5 0.25x = 170 + -12.5 Combine like terms: 170 + -12.5 = 157.5 0.25x = 157.5 Divide each side by '0.25'. x = 630 Simplifying x = 630
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