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Simplifying (2x + -13x + 7) + -1(1 + -12x) = 0 Reorder the terms: (7 + 2x + -13x) + -1(1 + -12x) = 0 Combine like terms: 2x + -13x = -11x (7 + -11x) + -1(1 + -12x) = 0 Remove parenthesis around (7 + -11x) 7 + -11x + -1(1 + -12x) = 0 7 + -11x + (1 * -1 + -12x * -1) = 0 7 + -11x + (-1 + 12x) = 0 Reorder the terms: 7 + -1 + -11x + 12x = 0 Combine like terms: 7 + -1 = 6 6 + -11x + 12x = 0 Combine like terms: -11x + 12x = 1x 6 + 1x = 0 Solving 6 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 0 + -6 1x = 0 + -6 Combine like terms: 0 + -6 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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