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Simplifying 11x + 22 = 5x + 172 Reorder the terms: 22 + 11x = 5x + 172 Reorder the terms: 22 + 11x = 172 + 5x Solving 22 + 11x = 172 + 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. 22 + 11x + -5x = 172 + 5x + -5x Combine like terms: 11x + -5x = 6x 22 + 6x = 172 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + 6x = 172 + 0 22 + 6x = 172 Add '-22' to each side of the equation. 22 + -22 + 6x = 172 + -22 Combine like terms: 22 + -22 = 0 0 + 6x = 172 + -22 6x = 172 + -22 Combine like terms: 172 + -22 = 150 6x = 150 Divide each side by '6'. x = 25 Simplifying x = 25
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