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Simplifying 0.5(8x + -6) = 1 Reorder the terms: 0.5(-6 + 8x) = 1 (-6 * 0.5 + 8x * 0.5) = 1 (-3 + 4x) = 1 Solving -3 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 1 + 3 4x = 1 + 3 Combine like terms: 1 + 3 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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