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Simplifying 10x + 17 = 5x + 92 Reorder the terms: 17 + 10x = 5x + 92 Reorder the terms: 17 + 10x = 92 + 5x Solving 17 + 10x = 92 + 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 + 10x + -5x = 92 + 5x + -5x Combine like terms: 10x + -5x = 5x 17 + 5x = 92 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 5x = 92 + 0 17 + 5x = 92 Add '-17' to each side of the equation. 17 + -17 + 5x = 92 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 92 + -17 5x = 92 + -17 Combine like terms: 92 + -17 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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