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Simplifying x + -8.5 + x + -8.5 + 2.5x + 2.5x = 0.75x + 0.75x + 8 + 8 Reorder the terms: -8.5 + -8.5 + x + x + 2.5x + 2.5x = 0.75x + 0.75x + 8 + 8 Combine like terms: -8.5 + -8.5 = -17 -17 + x + x + 2.5x + 2.5x = 0.75x + 0.75x + 8 + 8 Combine like terms: x + x = 2x -17 + 2x + 2.5x + 2.5x = 0.75x + 0.75x + 8 + 8 Combine like terms: 2x + 2.5x = 4.5x -17 + 4.5x + 2.5x = 0.75x + 0.75x + 8 + 8 Combine like terms: 4.5x + 2.5x = 7x -17 + 7x = 0.75x + 0.75x + 8 + 8 Reorder the terms: -17 + 7x = 8 + 8 + 0.75x + 0.75x Combine like terms: 8 + 8 = 16 -17 + 7x = 16 + 0.75x + 0.75x Combine like terms: 0.75x + 0.75x = 1.5x -17 + 7x = 16 + 1.5x Solving -17 + 7x = 16 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -17 + 7x + -1.5x = 16 + 1.5x + -1.5x Combine like terms: 7x + -1.5x = 5.5x -17 + 5.5x = 16 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -17 + 5.5x = 16 + 0.0 -17 + 5.5x = 16 Add '17' to each side of the equation. -17 + 17 + 5.5x = 16 + 17 Combine like terms: -17 + 17 = 0 0 + 5.5x = 16 + 17 5.5x = 16 + 17 Combine like terms: 16 + 17 = 33 5.5x = 33 Divide each side by '5.5'. x = 6 Simplifying x = 6
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