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Simplifying 17x + -8 = 12x + 52 Reorder the terms: -8 + 17x = 12x + 52 Reorder the terms: -8 + 17x = 52 + 12x Solving -8 + 17x = 52 + 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. -8 + 17x + -12x = 52 + 12x + -12x Combine like terms: 17x + -12x = 5x -8 + 5x = 52 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + 5x = 52 + 0 -8 + 5x = 52 Add '8' to each side of the equation. -8 + 8 + 5x = 52 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 52 + 8 5x = 52 + 8 Combine like terms: 52 + 8 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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