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Simplifying 3x + 0.5(x + -5) = 1 Reorder the terms: 3x + 0.5(-5 + x) = 1 3x + (-5 * 0.5 + x * 0.5) = 1 3x + (-2.5 + 0.5x) = 1 Reorder the terms: -2.5 + 3x + 0.5x = 1 Combine like terms: 3x + 0.5x = 3.5x -2.5 + 3.5x = 1 Solving -2.5 + 3.5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 3.5x = 1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 3.5x = 1 + 2.5 3.5x = 1 + 2.5 Combine like terms: 1 + 2.5 = 3.5 3.5x = 3.5 Divide each side by '3.5'. x = 1 Simplifying x = 1
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