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Simplifying 4x + 9 = 117 + -10x Reorder the terms: 9 + 4x = 117 + -10x Solving 9 + 4x = 117 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + 4x + 10x = 117 + -10x + 10x Combine like terms: 4x + 10x = 14x 9 + 14x = 117 + -10x + 10x Combine like terms: -10x + 10x = 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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