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Simplifying 0.75(8x + -24) = 42 Reorder the terms: 0.75(-24 + 8x) = 42 (-24 * 0.75 + 8x * 0.75) = 42 (-18 + 6x) = 42 Solving -18 + 6x = 42 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 + 6x = 42 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 42 + 18 6x = 42 + 18 Combine like terms: 42 + 18 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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