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Simplifying 14x + 219 = 4x + 289 Reorder the terms: 219 + 14x = 4x + 289 Reorder the terms: 219 + 14x = 289 + 4x Solving 219 + 14x = 289 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 219 + 14x + -4x = 289 + 4x + -4x Combine like terms: 14x + -4x = 10x 219 + 10x = 289 + 4x + -4x Combine like terms: 4x + -4x = 0 219 + 10x = 289 + 0 219 + 10x = 289 Add '-219' to each side of the equation. 219 + -219 + 10x = 289 + -219 Combine like terms: 219 + -219 = 0 0 + 10x = 289 + -219 10x = 289 + -219 Combine like terms: 289 + -219 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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