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Simplifying 7x + 17 = 2x + 12 Reorder the terms: 17 + 7x = 2x + 12 Reorder the terms: 17 + 7x = 12 + 2x Solving 17 + 7x = 12 + 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. 17 + 7x + -2x = 12 + 2x + -2x Combine like terms: 7x + -2x = 5x 17 + 5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 5x = 12 + 0 17 + 5x = 12 Add '-17' to each side of the equation. 17 + -17 + 5x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 12 + -17 5x = 12 + -17 Combine like terms: 12 + -17 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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