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Simplifying 11x + -31 + 9x + -12 = 117 Reorder the terms: -31 + -12 + 11x + 9x = 117 Combine like terms: -31 + -12 = -43 -43 + 11x + 9x = 117 Combine like terms: 11x + 9x = 20x -43 + 20x = 117 Solving -43 + 20x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 20x = 117 + 43 Combine like terms: -43 + 43 = 0 0 + 20x = 117 + 43 20x = 117 + 43 Combine like terms: 117 + 43 = 160 20x = 160 Divide each side by '20'. x = 8 Simplifying x = 8
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