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Simplifying 2x + 9x + 17 = 4x + -5 + 42 Reorder the terms: 17 + 2x + 9x = 4x + -5 + 42 Combine like terms: 2x + 9x = 11x 17 + 11x = 4x + -5 + 42 Reorder the terms: 17 + 11x = -5 + 42 + 4x Combine like terms: -5 + 42 = 37 17 + 11x = 37 + 4x Solving 17 + 11x = 37 + 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 + 11x + -4x = 37 + 4x + -4x Combine like terms: 11x + -4x = 7x 17 + 7x = 37 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 7x = 37 + 0 17 + 7x = 37 Add '-17' to each side of the equation. 17 + -17 + 7x = 37 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 37 + -17 7x = 37 + -17 Combine like terms: 37 + -17 = 20 7x = 20 Divide each side by '7'. x = 2.857142857 Simplifying x = 2.857142857
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