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Simplifying 12x + 17 = 5x + 10 Reorder the terms: 17 + 12x = 5x + 10 Reorder the terms: 17 + 12x = 10 + 5x Solving 17 + 12x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + 12x + -5x = 10 + 5x + -5x Combine like terms: 12x + -5x = 7x 17 + 7x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 7x = 10 + 0 17 + 7x = 10 Add '-17' to each side of the equation. 17 + -17 + 7x = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 10 + -17 7x = 10 + -17 Combine like terms: 10 + -17 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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