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Simplifying 17x + -6 = 12x + -31 Reorder the terms: -6 + 17x = 12x + -31 Reorder the terms: -6 + 17x = -31 + 12x Solving -6 + 17x = -31 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 17x + -12x = -31 + 12x + -12x Combine like terms: 17x + -12x = 5x -6 + 5x = -31 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 5x = -31 + 0 -6 + 5x = -31 Add '6' to each side of the equation. -6 + 6 + 5x = -31 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -31 + 6 5x = -31 + 6 Combine like terms: -31 + 6 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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