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