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Simplifying 0.5(5x + -1) = 8 Reorder the terms: 0.5(-1 + 5x) = 8 (-1 * 0.5 + 5x * 0.5) = 8 (-0.5 + 2.5x) = 8 Solving -0.5 + 2.5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 2.5x = 8 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2.5x = 8 + 0.5 2.5x = 8 + 0.5 Combine like terms: 8 + 0.5 = 8.5 2.5x = 8.5 Divide each side by '2.5'. x = 3.4 Simplifying x = 3.4
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