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Simplifying 20x + 34 = 12x + -14 + 5x + 21 Reorder the terms: 34 + 20x = 12x + -14 + 5x + 21 Reorder the terms: 34 + 20x = -14 + 21 + 12x + 5x Combine like terms: -14 + 21 = 7 34 + 20x = 7 + 12x + 5x Combine like terms: 12x + 5x = 17x 34 + 20x = 7 + 17x Solving 34 + 20x = 7 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 34 + 20x + -17x = 7 + 17x + -17x Combine like terms: 20x + -17x = 3x 34 + 3x = 7 + 17x + -17x Combine like terms: 17x + -17x = 0 34 + 3x = 7 + 0 34 + 3x = 7 Add '-34' to each side of the equation. 34 + -34 + 3x = 7 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 7 + -34 3x = 7 + -34 Combine like terms: 7 + -34 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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