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Simplifying 0.75(16x + -24) = 32 Reorder the terms: 0.75(-24 + 16x) = 32 (-24 * 0.75 + 16x * 0.75) = 32 (-18 + 12x) = 32 Solving -18 + 12x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12x = 32 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 32 + 18 12x = 32 + 18 Combine like terms: 32 + 18 = 50 12x = 50 Divide each side by '12'. x = 4.166666667 Simplifying x = 4.166666667
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