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Simplifying 0.25x + 0.50(51 + -1x) = 17.00 0.25x + (51 * 0.50 + -1x * 0.50) = 17.00 0.25x + (25.5 + -0.5x) = 17.00 Reorder the terms: 25.5 + 0.25x + -0.5x = 17.00 Combine like terms: 0.25x + -0.5x = -0.25x 25.5 + -0.25x = 17.00 Solving 25.5 + -0.25x = 17.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25.5' to each side of the equation. 25.5 + -25.5 + -0.25x = 17.00 + -25.5 Combine like terms: 25.5 + -25.5 = 0.0 0.0 + -0.25x = 17.00 + -25.5 -0.25x = 17.00 + -25.5 Combine like terms: 17.00 + -25.5 = -8.5 -0.25x = -8.5 Divide each side by '-0.25'. x = 34 Simplifying x = 34
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