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Simplifying 7.5x + -46.25 = 10 + -5x Reorder the terms: -46.25 + 7.5x = 10 + -5x Solving -46.25 + 7.5x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -46.25 + 7.5x + 5x = 10 + -5x + 5x Combine like terms: 7.5x + 5x = 12.5x -46.25 + 12.5x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -46.25 + 12.5x = 10 + 0 -46.25 + 12.5x = 10 Add '46.25' to each side of the equation. -46.25 + 46.25 + 12.5x = 10 + 46.25 Combine like terms: -46.25 + 46.25 = 0.00 0.00 + 12.5x = 10 + 46.25 12.5x = 10 + 46.25 Combine like terms: 10 + 46.25 = 56.25 12.5x = 56.25 Divide each side by '12.5'. x = 4.5 Simplifying x = 4.5
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