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Simplifying 6x + 109 = 11x + -6 Reorder the terms: 109 + 6x = 11x + -6 Reorder the terms: 109 + 6x = -6 + 11x Solving 109 + 6x = -6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 109 + 6x + -11x = -6 + 11x + -11x Combine like terms: 6x + -11x = -5x 109 + -5x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 109 + -5x = -6 + 0 109 + -5x = -6 Add '-109' to each side of the equation. 109 + -109 + -5x = -6 + -109 Combine like terms: 109 + -109 = 0 0 + -5x = -6 + -109 -5x = -6 + -109 Combine like terms: -6 + -109 = -115 -5x = -115 Divide each side by '-5'. x = 23 Simplifying x = 23
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