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Simplifying 12(1 + -11x) = -12 + -12(12x + -1) (1 * 12 + -11x * 12) = -12 + -12(12x + -1) (12 + -132x) = -12 + -12(12x + -1) Reorder the terms: 12 + -132x = -12 + -12(-1 + 12x) 12 + -132x = -12 + (-1 * -12 + 12x * -12) 12 + -132x = -12 + (12 + -144x) Combine like terms: -12 + 12 = 0 12 + -132x = 0 + -144x 12 + -132x = -144x Solving 12 + -132x = -144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144x' to each side of the equation. 12 + -132x + 144x = -144x + 144x Combine like terms: -132x + 144x = 12x 12 + 12x = -144x + 144x Combine like terms: -144x + 144x = 0 12 + 12x = 0 Add '-12' to each side of the equation. 12 + -12 + 12x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 0 + -12 12x = 0 + -12 Combine like terms: 0 + -12 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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