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Simplifying 7x + 17 = 2x + 32 Reorder the terms: 17 + 7x = 2x + 32 Reorder the terms: 17 + 7x = 32 + 2x Solving 17 + 7x = 32 + 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 = 32 + 2x + -2x Combine like terms: 7x + -2x = 5x 17 + 5x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 5x = 32 + 0 17 + 5x = 32 Add '-17' to each side of the equation. 17 + -17 + 5x = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 32 + -17 5x = 32 + -17 Combine like terms: 32 + -17 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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