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Simplifying 12(x + 1) = 11x Reorder the terms: 12(1 + x) = 11x (1 * 12 + x * 12) = 11x (12 + 12x) = 11x Solving 12 + 12x = 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. 12 + 12x + -11x = 11x + -11x Combine like terms: 12x + -11x = 1x 12 + 1x = 11x + -11x Combine like terms: 11x + -11x = 0 12 + 1x = 0 Add '-12' to each side of the equation. 12 + -12 + 1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 0 + -12 1x = 0 + -12 Combine like terms: 0 + -12 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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