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Simplifying 0.5(5x + -1) = 7 Reorder the terms: 0.5(-1 + 5x) = 7 (-1 * 0.5 + 5x * 0.5) = 7 (-0.5 + 2.5x) = 7 Solving -0.5 + 2.5x = 7 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 = 7 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 2.5x = 7 + 0.5 2.5x = 7 + 0.5 Combine like terms: 7 + 0.5 = 7.5 2.5x = 7.5 Divide each side by '2.5'. x = 3 Simplifying x = 3
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