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Simplifying -1[4x + -5(1 + -2x)] = 9 + -6(x + -2) -1[4x + (1 * -5 + -2x * -5)] = 9 + -6(x + -2) -1[4x + (-5 + 10x)] = 9 + -6(x + -2) Reorder the terms: -1[-5 + 4x + 10x] = 9 + -6(x + -2) Combine like terms: 4x + 10x = 14x -1[-5 + 14x] = 9 + -6(x + -2) [-5 * -1 + 14x * -1] = 9 + -6(x + -2) [5 + -14x] = 9 + -6(x + -2) Reorder the terms: 5 + -14x = 9 + -6(-2 + x) 5 + -14x = 9 + (-2 * -6 + x * -6) 5 + -14x = 9 + (12 + -6x) Combine like terms: 9 + 12 = 21 5 + -14x = 21 + -6x Solving 5 + -14x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + -14x + 6x = 21 + -6x + 6x Combine like terms: -14x + 6x = -8x 5 + -8x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + -8x = 21 + 0 5 + -8x = 21 Add '-5' to each side of the equation. 5 + -5 + -8x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 21 + -5 -8x = 21 + -5 Combine like terms: 21 + -5 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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