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Simplifying 7x + -9 = 4.5x + 8.5 Reorder the terms: -9 + 7x = 4.5x + 8.5 Reorder the terms: -9 + 7x = 8.5 + 4.5x Solving -9 + 7x = 8.5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -9 + 7x + -4.5x = 8.5 + 4.5x + -4.5x Combine like terms: 7x + -4.5x = 2.5x -9 + 2.5x = 8.5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -9 + 2.5x = 8.5 + 0.0 -9 + 2.5x = 8.5 Add '9' to each side of the equation. -9 + 9 + 2.5x = 8.5 + 9 Combine like terms: -9 + 9 = 0 0 + 2.5x = 8.5 + 9 2.5x = 8.5 + 9 Combine like terms: 8.5 + 9 = 17.5 2.5x = 17.5 Divide each side by '2.5'. x = 7 Simplifying x = 7
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