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Simplifying 2x + 11 = 109 + -10x Reorder the terms: 11 + 2x = 109 + -10x Solving 11 + 2x = 109 + -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. 11 + 2x + 10x = 109 + -10x + 10x Combine like terms: 2x + 10x = 12x 11 + 12x = 109 + -10x + 10x Combine like terms: -10x + 10x = 0 11 + 12x = 109 + 0 11 + 12x = 109 Add '-11' to each side of the equation. 11 + -11 + 12x = 109 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 109 + -11 12x = 109 + -11 Combine like terms: 109 + -11 = 98 12x = 98 Divide each side by '12'. x = 8.166666667 Simplifying x = 8.166666667
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