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Simplifying 14x + 17 + 7x = 9 + 2x + 8 Reorder the terms: 17 + 14x + 7x = 9 + 2x + 8 Combine like terms: 14x + 7x = 21x 17 + 21x = 9 + 2x + 8 Reorder the terms: 17 + 21x = 9 + 8 + 2x Combine like terms: 9 + 8 = 17 17 + 21x = 17 + 2x Add '-17' to each side of the equation. 17 + -17 + 21x = 17 + -17 + 2x Combine like terms: 17 + -17 = 0 0 + 21x = 17 + -17 + 2x 21x = 17 + -17 + 2x Combine like terms: 17 + -17 = 0 21x = 0 + 2x 21x = 2x Solving 21x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21x + -2x = 2x + -2x Combine like terms: 21x + -2x = 19x 19x = 2x + -2x Combine like terms: 2x + -2x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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