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Simplifying x + 3.5x + -9 + x + 1.5x = 75 Reorder the terms: -9 + x + 3.5x + x + 1.5x = 75 Combine like terms: x + 3.5x = 4.5x -9 + 4.5x + x + 1.5x = 75 Combine like terms: 4.5x + x = 5.5x -9 + 5.5x + 1.5x = 75 Combine like terms: 5.5x + 1.5x = 7x -9 + 7x = 75 Solving -9 + 7x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 75 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 75 + 9 7x = 75 + 9 Combine like terms: 75 + 9 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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