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Simplifying 2x + 0.5(x + -6) = 0 Reorder the terms: 2x + 0.5(-6 + x) = 0 2x + (-6 * 0.5 + x * 0.5) = 0 2x + (-3 + 0.5x) = 0 Reorder the terms: -3 + 2x + 0.5x = 0 Combine like terms: 2x + 0.5x = 2.5x -3 + 2.5x = 0 Solving -3 + 2.5x = 0 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 + 2.5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2.5x = 0 + 3 2.5x = 0 + 3 Combine like terms: 0 + 3 = 3 2.5x = 3 Divide each side by '2.5'. x = 1.2 Simplifying x = 1.2
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