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Simplifying 3x + 17 = 14x + 6 Reorder the terms: 17 + 3x = 14x + 6 Reorder the terms: 17 + 3x = 6 + 14x Solving 17 + 3x = 6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 17 + 3x + -14x = 6 + 14x + -14x Combine like terms: 3x + -14x = -11x 17 + -11x = 6 + 14x + -14x Combine like terms: 14x + -14x = 0 17 + -11x = 6 + 0 17 + -11x = 6 Add '-17' to each side of the equation. 17 + -17 + -11x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = 6 + -17 -11x = 6 + -17 Combine like terms: 6 + -17 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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