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Simplifying 14x + 17 = 5x + 269 Reorder the terms: 17 + 14x = 5x + 269 Reorder the terms: 17 + 14x = 269 + 5x Solving 17 + 14x = 269 + 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 + 14x + -5x = 269 + 5x + -5x Combine like terms: 14x + -5x = 9x 17 + 9x = 269 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 9x = 269 + 0 17 + 9x = 269 Add '-17' to each side of the equation. 17 + -17 + 9x = 269 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 269 + -17 9x = 269 + -17 Combine like terms: 269 + -17 = 252 9x = 252 Divide each side by '9'. x = 28 Simplifying x = 28
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