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Simplifying 0.10x + 0.25x + -7.5 = 6 Reorder the terms: -7.5 + 0.10x + 0.25x = 6 Combine like terms: 0.10x + 0.25x = 0.35x -7.5 + 0.35x = 6 Solving -7.5 + 0.35x = 6 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 + 0.35x = 6 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 0.35x = 6 + 7.5 0.35x = 6 + 7.5 Combine like terms: 6 + 7.5 = 13.5 0.35x = 13.5 Divide each side by '0.35'. x = 38.57142857 Simplifying x = 38.57142857
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