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Simplifying 0.5x + 3 = -1x + 12 Reorder the terms: 3 + 0.5x = -1x + 12 Reorder the terms: 3 + 0.5x = 12 + -1x Solving 3 + 0.5x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 0.5x + x = 12 + -1x + x Combine like terms: 0.5x + x = 1.5x 3 + 1.5x = 12 + -1x + x Combine like terms: -1x + x = 0 3 + 1.5x = 12 + 0 3 + 1.5x = 12 Add '-3' to each side of the equation. 3 + -3 + 1.5x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5x = 12 + -3 1.5x = 12 + -3 Combine like terms: 12 + -3 = 9 1.5x = 9 Divide each side by '1.5'. x = 6 Simplifying x = 6
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