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Simplifying x + -2[7x + -1] = -12x + -1 Reorder the terms: x + -2[-1 + 7x] = -12x + -1 x + [-1 * -2 + 7x * -2] = -12x + -1 x + [2 + -14x] = -12x + -1 Reorder the terms: 2 + x + -14x = -12x + -1 Combine like terms: x + -14x = -13x 2 + -13x = -12x + -1 Reorder the terms: 2 + -13x = -1 + -12x Solving 2 + -13x = -1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2 + -13x + 12x = -1 + -12x + 12x Combine like terms: -13x + 12x = -1x 2 + -1x = -1 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + -1x = -1 + 0 2 + -1x = -1 Add '-2' to each side of the equation. 2 + -2 + -1x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -1 + -2 -1x = -1 + -2 Combine like terms: -1 + -2 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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