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Simplifying 9x + 17 = 4x + 42 Reorder the terms: 17 + 9x = 4x + 42 Reorder the terms: 17 + 9x = 42 + 4x Solving 17 + 9x = 42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 9x + -4x = 42 + 4x + -4x Combine like terms: 9x + -4x = 5x 17 + 5x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 5x = 42 + 0 17 + 5x = 42 Add '-17' to each side of the equation. 17 + -17 + 5x = 42 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 42 + -17 5x = 42 + -17 Combine like terms: 42 + -17 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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