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Simplifying 13x + 11 = 6x + 109 Reorder the terms: 11 + 13x = 6x + 109 Reorder the terms: 11 + 13x = 109 + 6x Solving 11 + 13x = 109 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11 + 13x + -6x = 109 + 6x + -6x Combine like terms: 13x + -6x = 7x 11 + 7x = 109 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + 7x = 109 + 0 11 + 7x = 109 Add '-11' to each side of the equation. 11 + -11 + 7x = 109 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 109 + -11 7x = 109 + -11 Combine like terms: 109 + -11 = 98 7x = 98 Divide each side by '7'. x = 14 Simplifying x = 14
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