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Simplifying 6x + 9 = 117 + -8x Reorder the terms: 9 + 6x = 117 + -8x Solving 9 + 6x = 117 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 6x + 8x = 117 + -8x + 8x Combine like terms: 6x + 8x = 14x 9 + 14x = 117 + -8x + 8x Combine like terms: -8x + 8x = 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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