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Simplifying 0.5x + 8 = 14 + -1x Reorder the terms: 8 + 0.5x = 14 + -1x Solving 8 + 0.5x = 14 + -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. 8 + 0.5x + x = 14 + -1x + x Combine like terms: 0.5x + x = 1.5x 8 + 1.5x = 14 + -1x + x Combine like terms: -1x + x = 0 8 + 1.5x = 14 + 0 8 + 1.5x = 14 Add '-8' to each side of the equation. 8 + -8 + 1.5x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 1.5x = 14 + -8 1.5x = 14 + -8 Combine like terms: 14 + -8 = 6 1.5x = 6 Divide each side by '1.5'. x = 4 Simplifying x = 4
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