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Simplifying 0.5(4x + -2) = 1 Reorder the terms: 0.5(-2 + 4x) = 1 (-2 * 0.5 + 4x * 0.5) = 1 (-1 + 2x) = 1 Solving -1 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 1 + 1 2x = 1 + 1 Combine like terms: 1 + 1 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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