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Simplifying 105 + -1x = 11x + -171 Reorder the terms: 105 + -1x = -171 + 11x Solving 105 + -1x = -171 + 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. 105 + -1x + -11x = -171 + 11x + -11x Combine like terms: -1x + -11x = -12x 105 + -12x = -171 + 11x + -11x Combine like terms: 11x + -11x = 0 105 + -12x = -171 + 0 105 + -12x = -171 Add '-105' to each side of the equation. 105 + -105 + -12x = -171 + -105 Combine like terms: 105 + -105 = 0 0 + -12x = -171 + -105 -12x = -171 + -105 Combine like terms: -171 + -105 = -276 -12x = -276 Divide each side by '-12'. x = 23 Simplifying x = 23
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