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Simplifying 5x + 9 = 117 + -9x Reorder the terms: 9 + 5x = 117 + -9x Solving 9 + 5x = 117 + -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. 9 + 5x + 9x = 117 + -9x + 9x Combine like terms: 5x + 9x = 14x 9 + 14x = 117 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 14x = 117 + 0 9 + 14x = 117 Add '-9' to each side of the equation. 9 + -9 + 14x = 117 + -9 Combine like terms: 9 + -9 = 0 0 + 14x = 117 + -9 14x = 117 + -9 Combine like terms: 117 + -9 = 108 14x = 108 Divide each side by '14'. x = 7.714285714 Simplifying x = 7.714285714
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