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Simplifying 10x + 22 = 5x + 162 Reorder the terms: 22 + 10x = 5x + 162 Reorder the terms: 22 + 10x = 162 + 5x Solving 22 + 10x = 162 + 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 + 10x + -5x = 162 + 5x + -5x Combine like terms: 10x + -5x = 5x 22 + 5x = 162 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + 5x = 162 + 0 22 + 5x = 162 Add '-22' to each side of the equation. 22 + -22 + 5x = 162 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 162 + -22 5x = 162 + -22 Combine like terms: 162 + -22 = 140 5x = 140 Divide each side by '5'. x = 28 Simplifying x = 28
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