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Simplifying 12x + -1[7x + -1(5 + x)] = 5x + -9 12x + -1[7x + (5 * -1 + x * -1)] = 5x + -9 12x + -1[7x + (-5 + -1x)] = 5x + -9 Reorder the terms: 12x + -1[-5 + 7x + -1x] = 5x + -9 Combine like terms: 7x + -1x = 6x 12x + -1[-5 + 6x] = 5x + -9 12x + [-5 * -1 + 6x * -1] = 5x + -9 12x + [5 + -6x] = 5x + -9 Reorder the terms: 5 + 12x + -6x = 5x + -9 Combine like terms: 12x + -6x = 6x 5 + 6x = 5x + -9 Reorder the terms: 5 + 6x = -9 + 5x Solving 5 + 6x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 6x + -5x = -9 + 5x + -5x Combine like terms: 6x + -5x = 1x 5 + 1x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 1x = -9 + 0 5 + 1x = -9 Add '-5' to each side of the equation. 5 + -5 + 1x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -9 + -5 1x = -9 + -5 Combine like terms: -9 + -5 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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