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Simplifying 6x + 11 = 109 + -9x Reorder the terms: 11 + 6x = 109 + -9x Solving 11 + 6x = 109 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 11 + 6x + 9x = 109 + -9x + 9x Combine like terms: 6x + 9x = 15x 11 + 15x = 109 + -9x + 9x Combine like terms: -9x + 9x = 0 11 + 15x = 109 + 0 11 + 15x = 109 Add '-11' to each side of the equation. 11 + -11 + 15x = 109 + -11 Combine like terms: 11 + -11 = 0 0 + 15x = 109 + -11 15x = 109 + -11 Combine like terms: 109 + -11 = 98 15x = 98 Divide each side by '15'. x = 6.533333333 Simplifying x = 6.533333333
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