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Simplifying 0.5x + -5 + 2x = 11.5 + x Reorder the terms: -5 + 0.5x + 2x = 11.5 + x Combine like terms: 0.5x + 2x = 2.5x -5 + 2.5x = 11.5 + x Solving -5 + 2.5x = 11.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 2.5x + -1x = 11.5 + x + -1x Combine like terms: 2.5x + -1x = 1.5x -5 + 1.5x = 11.5 + x + -1x Combine like terms: x + -1x = 0 -5 + 1.5x = 11.5 + 0 -5 + 1.5x = 11.5 Add '5' to each side of the equation. -5 + 5 + 1.5x = 11.5 + 5 Combine like terms: -5 + 5 = 0 0 + 1.5x = 11.5 + 5 1.5x = 11.5 + 5 Combine like terms: 11.5 + 5 = 16.5 1.5x = 16.5 Divide each side by '1.5'. x = 11 Simplifying x = 11
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