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Simplifying 117 + -2x = 43x + 22 Reorder the terms: 117 + -2x = 22 + 43x Solving 117 + -2x = 22 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 117 + -2x + -43x = 22 + 43x + -43x Combine like terms: -2x + -43x = -45x 117 + -45x = 22 + 43x + -43x Combine like terms: 43x + -43x = 0 117 + -45x = 22 + 0 117 + -45x = 22 Add '-117' to each side of the equation. 117 + -117 + -45x = 22 + -117 Combine like terms: 117 + -117 = 0 0 + -45x = 22 + -117 -45x = 22 + -117 Combine like terms: 22 + -117 = -95 -45x = -95 Divide each side by '-45'. x = 2.111111111 Simplifying x = 2.111111111
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