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Simplifying 12x + 17 = 5x + 192 Reorder the terms: 17 + 12x = 5x + 192 Reorder the terms: 17 + 12x = 192 + 5x Solving 17 + 12x = 192 + 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. 17 + 12x + -5x = 192 + 5x + -5x Combine like terms: 12x + -5x = 7x 17 + 7x = 192 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 7x = 192 + 0 17 + 7x = 192 Add '-17' to each side of the equation. 17 + -17 + 7x = 192 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 192 + -17 7x = 192 + -17 Combine like terms: 192 + -17 = 175 7x = 175 Divide each side by '7'. x = 25 Simplifying x = 25
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