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Simplifying 12x + 7 + 5x + 20 = 6x + 2 + 2x + 25 Reorder the terms: 7 + 20 + 12x + 5x = 6x + 2 + 2x + 25 Combine like terms: 7 + 20 = 27 27 + 12x + 5x = 6x + 2 + 2x + 25 Combine like terms: 12x + 5x = 17x 27 + 17x = 6x + 2 + 2x + 25 Reorder the terms: 27 + 17x = 2 + 25 + 6x + 2x Combine like terms: 2 + 25 = 27 27 + 17x = 27 + 6x + 2x Combine like terms: 6x + 2x = 8x 27 + 17x = 27 + 8x Add '-27' to each side of the equation. 27 + -27 + 17x = 27 + -27 + 8x Combine like terms: 27 + -27 = 0 0 + 17x = 27 + -27 + 8x 17x = 27 + -27 + 8x Combine like terms: 27 + -27 = 0 17x = 0 + 8x 17x = 8x Solving 17x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 17x + -8x = 8x + -8x Combine like terms: 17x + -8x = 9x 9x = 8x + -8x Combine like terms: 8x + -8x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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