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Simplifying 0.5(6x + -10) = 11.8 Reorder the terms: 0.5(-10 + 6x) = 11.8 (-10 * 0.5 + 6x * 0.5) = 11.8 (-5 + 3x) = 11.8 Solving -5 + 3x = 11.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 11.8 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 11.8 + 5 3x = 11.8 + 5 Combine like terms: 11.8 + 5 = 16.8 3x = 16.8 Divide each side by '3'. x = 5.6 Simplifying x = 5.6
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