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Simplifying 8x + 17 = 5x + 32 Reorder the terms: 17 + 8x = 5x + 32 Reorder the terms: 17 + 8x = 32 + 5x Solving 17 + 8x = 32 + 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 + 8x + -5x = 32 + 5x + -5x Combine like terms: 8x + -5x = 3x 17 + 3x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 3x = 32 + 0 17 + 3x = 32 Add '-17' to each side of the equation. 17 + -17 + 3x = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 32 + -17 3x = 32 + -17 Combine like terms: 32 + -17 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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