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Simplifying 10x + 5 = 7.5x + 25 Reorder the terms: 5 + 10x = 7.5x + 25 Reorder the terms: 5 + 10x = 25 + 7.5x Solving 5 + 10x = 25 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 5 + 10x + -7.5x = 25 + 7.5x + -7.5x Combine like terms: 10x + -7.5x = 2.5x 5 + 2.5x = 25 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 5 + 2.5x = 25 + 0.0 5 + 2.5x = 25 Add '-5' to each side of the equation. 5 + -5 + 2.5x = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 2.5x = 25 + -5 2.5x = 25 + -5 Combine like terms: 25 + -5 = 20 2.5x = 20 Divide each side by '2.5'. x = 8 Simplifying x = 8
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