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Simplifying 12x + 17x + -6 + 1 = -8x + 1 + -6 Reorder the terms: -6 + 1 + 12x + 17x = -8x + 1 + -6 Combine like terms: -6 + 1 = -5 -5 + 12x + 17x = -8x + 1 + -6 Combine like terms: 12x + 17x = 29x -5 + 29x = -8x + 1 + -6 Reorder the terms: -5 + 29x = 1 + -6 + -8x Combine like terms: 1 + -6 = -5 -5 + 29x = -5 + -8x Add '5' to each side of the equation. -5 + 5 + 29x = -5 + 5 + -8x Combine like terms: -5 + 5 = 0 0 + 29x = -5 + 5 + -8x 29x = -5 + 5 + -8x Combine like terms: -5 + 5 = 0 29x = 0 + -8x 29x = -8x Solving 29x = -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. 29x + 8x = -8x + 8x Combine like terms: 29x + 8x = 37x 37x = -8x + 8x Combine like terms: -8x + 8x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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