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Simplifying 6x + 11 = 14x + -109 Reorder the terms: 11 + 6x = 14x + -109 Reorder the terms: 11 + 6x = -109 + 14x Solving 11 + 6x = -109 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 11 + 6x + -14x = -109 + 14x + -14x Combine like terms: 6x + -14x = -8x 11 + -8x = -109 + 14x + -14x Combine like terms: 14x + -14x = 0 11 + -8x = -109 + 0 11 + -8x = -109 Add '-11' to each side of the equation. 11 + -11 + -8x = -109 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = -109 + -11 -8x = -109 + -11 Combine like terms: -109 + -11 = -120 -8x = -120 Divide each side by '-8'. x = 15 Simplifying x = 15
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