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Simplifying 14x + 17 = 9x + 22 Reorder the terms: 17 + 14x = 9x + 22 Reorder the terms: 17 + 14x = 22 + 9x Solving 17 + 14x = 22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 14x + -9x = 22 + 9x + -9x Combine like terms: 14x + -9x = 5x 17 + 5x = 22 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + 5x = 22 + 0 17 + 5x = 22 Add '-17' to each side of the equation. 17 + -17 + 5x = 22 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 22 + -17 5x = 22 + -17 Combine like terms: 22 + -17 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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