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Simplifying 0.5x + -6 + 2x + 0.5x = 12 Reorder the terms: -6 + 0.5x + 2x + 0.5x = 12 Combine like terms: 0.5x + 2x = 2.5x -6 + 2.5x + 0.5x = 12 Combine like terms: 2.5x + 0.5x = 3x -6 + 3x = 12 Solving -6 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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