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Simplifying 3x + 0.5x = 5x + 32.5 + 4.5x Combine like terms: 3x + 0.5x = 3.5x 3.5x = 5x + 32.5 + 4.5x Reorder the terms: 3.5x = 32.5 + 5x + 4.5x Combine like terms: 5x + 4.5x = 9.5x 3.5x = 32.5 + 9.5x Solving 3.5x = 32.5 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. 3.5x + -9.5x = 32.5 + 9.5x + -9.5x Combine like terms: 3.5x + -9.5x = -6x -6x = 32.5 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 -6x = 32.5 + 0.0 -6x = 32.5 Divide each side by '-6'. x = -5.416666667 Simplifying x = -5.416666667
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