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Simplifying 0.5x + 2 + 0.5 = 12 + -3x Reorder the terms: 2 + 0.5 + 0.5x = 12 + -3x Combine like terms: 2 + 0.5 = 2.5 2.5 + 0.5x = 12 + -3x Solving 2.5 + 0.5x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2.5 + 0.5x + 3x = 12 + -3x + 3x Combine like terms: 0.5x + 3x = 3.5x 2.5 + 3.5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 2.5 + 3.5x = 12 + 0 2.5 + 3.5x = 12 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 3.5x = 12 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 3.5x = 12 + -2.5 3.5x = 12 + -2.5 Combine like terms: 12 + -2.5 = 9.5 3.5x = 9.5 Divide each side by '3.5'. x = 2.714285714 Simplifying x = 2.714285714
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