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Simplifying 3x + 109 = 11x + -11 Reorder the terms: 109 + 3x = 11x + -11 Reorder the terms: 109 + 3x = -11 + 11x Solving 109 + 3x = -11 + 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 + 3x + -11x = -11 + 11x + -11x Combine like terms: 3x + -11x = -8x 109 + -8x = -11 + 11x + -11x Combine like terms: 11x + -11x = 0 109 + -8x = -11 + 0 109 + -8x = -11 Add '-109' to each side of the equation. 109 + -109 + -8x = -11 + -109 Combine like terms: 109 + -109 = 0 0 + -8x = -11 + -109 -8x = -11 + -109 Combine like terms: -11 + -109 = -120 -8x = -120 Divide each side by '-8'. x = 15 Simplifying x = 15
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