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Simplifying 14x + -17 = 3x + 38 Reorder the terms: -17 + 14x = 3x + 38 Reorder the terms: -17 + 14x = 38 + 3x Solving -17 + 14x = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -17 + 14x + -3x = 38 + 3x + -3x Combine like terms: 14x + -3x = 11x -17 + 11x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 11x = 38 + 0 -17 + 11x = 38 Add '17' to each side of the equation. -17 + 17 + 11x = 38 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 38 + 17 11x = 38 + 17 Combine like terms: 38 + 17 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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