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Simplifying 0.75x + -0.25(30 + -1x) = 8.5 0.75x + (30 * -0.25 + -1x * -0.25) = 8.5 0.75x + (-7.5 + 0.25x) = 8.5 Reorder the terms: -7.5 + 0.75x + 0.25x = 8.5 Combine like terms: 0.75x + 0.25x = 1x -7.5 + 1x = 8.5 Solving -7.5 + 1x = 8.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + 1x = 8.5 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 1x = 8.5 + 7.5 1x = 8.5 + 7.5 Combine like terms: 8.5 + 7.5 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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