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Simplifying -117 + -10x = 109 + -45x Solving -117 + -10x = 109 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -117 + -10x + 45x = 109 + -45x + 45x Combine like terms: -10x + 45x = 35x -117 + 35x = 109 + -45x + 45x Combine like terms: -45x + 45x = 0 -117 + 35x = 109 + 0 -117 + 35x = 109 Add '117' to each side of the equation. -117 + 117 + 35x = 109 + 117 Combine like terms: -117 + 117 = 0 0 + 35x = 109 + 117 35x = 109 + 117 Combine like terms: 109 + 117 = 226 35x = 226 Divide each side by '35'. x = 6.457142857 Simplifying x = 6.457142857
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