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Simplifying x + 2.5x + -8 + x + 1.5x = 76 Reorder the terms: -8 + x + 2.5x + x + 1.5x = 76 Combine like terms: x + 2.5x = 3.5x -8 + 3.5x + x + 1.5x = 76 Combine like terms: 3.5x + x = 4.5x -8 + 4.5x + 1.5x = 76 Combine like terms: 4.5x + 1.5x = 6x -8 + 6x = 76 Solving -8 + 6x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6x = 76 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 76 + 8 6x = 76 + 8 Combine like terms: 76 + 8 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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