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Simplifying 12x + 17x + -8 + 5 = -2x + 5 + -8 Reorder the terms: -8 + 5 + 12x + 17x = -2x + 5 + -8 Combine like terms: -8 + 5 = -3 -3 + 12x + 17x = -2x + 5 + -8 Combine like terms: 12x + 17x = 29x -3 + 29x = -2x + 5 + -8 Reorder the terms: -3 + 29x = 5 + -8 + -2x Combine like terms: 5 + -8 = -3 -3 + 29x = -3 + -2x Add '3' to each side of the equation. -3 + 3 + 29x = -3 + 3 + -2x Combine like terms: -3 + 3 = 0 0 + 29x = -3 + 3 + -2x 29x = -3 + 3 + -2x Combine like terms: -3 + 3 = 0 29x = 0 + -2x 29x = -2x Solving 29x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 29x + 2x = -2x + 2x Combine like terms: 29x + 2x = 31x 31x = -2x + 2x Combine like terms: -2x + 2x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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