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Simplifying 12x + 17x + -6 + 5 = -5x + 5 + -6 Reorder the terms: -6 + 5 + 12x + 17x = -5x + 5 + -6 Combine like terms: -6 + 5 = -1 -1 + 12x + 17x = -5x + 5 + -6 Combine like terms: 12x + 17x = 29x -1 + 29x = -5x + 5 + -6 Reorder the terms: -1 + 29x = 5 + -6 + -5x Combine like terms: 5 + -6 = -1 -1 + 29x = -1 + -5x Add '1' to each side of the equation. -1 + 1 + 29x = -1 + 1 + -5x Combine like terms: -1 + 1 = 0 0 + 29x = -1 + 1 + -5x 29x = -1 + 1 + -5x Combine like terms: -1 + 1 = 0 29x = 0 + -5x 29x = -5x Solving 29x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 29x + 5x = -5x + 5x Combine like terms: 29x + 5x = 34x 34x = -5x + 5x Combine like terms: -5x + 5x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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