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Simplifying 20x + 34 + 5x + 21 = 12x + -14 + 5x + 21 Reorder the terms: 34 + 21 + 20x + 5x = 12x + -14 + 5x + 21 Combine like terms: 34 + 21 = 55 55 + 20x + 5x = 12x + -14 + 5x + 21 Combine like terms: 20x + 5x = 25x 55 + 25x = 12x + -14 + 5x + 21 Reorder the terms: 55 + 25x = -14 + 21 + 12x + 5x Combine like terms: -14 + 21 = 7 55 + 25x = 7 + 12x + 5x Combine like terms: 12x + 5x = 17x 55 + 25x = 7 + 17x Solving 55 + 25x = 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. 55 + 25x + -17x = 7 + 17x + -17x Combine like terms: 25x + -17x = 8x 55 + 8x = 7 + 17x + -17x Combine like terms: 17x + -17x = 0 55 + 8x = 7 + 0 55 + 8x = 7 Add '-55' to each side of the equation. 55 + -55 + 8x = 7 + -55 Combine like terms: 55 + -55 = 0 0 + 8x = 7 + -55 8x = 7 + -55 Combine like terms: 7 + -55 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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