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Simplifying x + 9 = -5x + 17 Reorder the terms: 9 + x = -5x + 17 Reorder the terms: 9 + x = 17 + -5x Solving 9 + x = 17 + -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. 9 + x + 5x = 17 + -5x + 5x Combine like terms: x + 5x = 6x 9 + 6x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 6x = 17 + 0 9 + 6x = 17 Add '-9' to each side of the equation. 9 + -9 + 6x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 17 + -9 6x = 17 + -9 Combine like terms: 17 + -9 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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