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Simplifying 12x + -17 = 7x + 13 Reorder the terms: -17 + 12x = 7x + 13 Reorder the terms: -17 + 12x = 13 + 7x Solving -17 + 12x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + 12x + -7x = 13 + 7x + -7x Combine like terms: 12x + -7x = 5x -17 + 5x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + 5x = 13 + 0 -17 + 5x = 13 Add '17' to each side of the equation. -17 + 17 + 5x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 13 + 17 5x = 13 + 17 Combine like terms: 13 + 17 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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