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Simplifying 5x + 17 = 17 + 9x + 12 Reorder the terms: 17 + 5x = 17 + 9x + 12 Reorder the terms: 17 + 5x = 17 + 12 + 9x Combine like terms: 17 + 12 = 29 17 + 5x = 29 + 9x Solving 17 + 5x = 29 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 5x + -9x = 29 + 9x + -9x Combine like terms: 5x + -9x = -4x 17 + -4x = 29 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + -4x = 29 + 0 17 + -4x = 29 Add '-17' to each side of the equation. 17 + -17 + -4x = 29 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 29 + -17 -4x = 29 + -17 Combine like terms: 29 + -17 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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