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Simplifying 3.5x + 25 = 12.25 + 5x Reorder the terms: 25 + 3.5x = 12.25 + 5x Solving 25 + 3.5x = 12.25 + 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. 25 + 3.5x + -5x = 12.25 + 5x + -5x Combine like terms: 3.5x + -5x = -1.5x 25 + -1.5x = 12.25 + 5x + -5x Combine like terms: 5x + -5x = 0 25 + -1.5x = 12.25 + 0 25 + -1.5x = 12.25 Add '-25' to each side of the equation. 25 + -25 + -1.5x = 12.25 + -25 Combine like terms: 25 + -25 = 0 0 + -1.5x = 12.25 + -25 -1.5x = 12.25 + -25 Combine like terms: 12.25 + -25 = -12.75 -1.5x = -12.75 Divide each side by '-1.5'. x = 8.5 Simplifying x = 8.5
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