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Simplifying 2 + -1[4x + -1(1 + -2x)] = 9(x + 4) 2 + -1[4x + (1 * -1 + -2x * -1)] = 9(x + 4) 2 + -1[4x + (-1 + 2x)] = 9(x + 4) Reorder the terms: 2 + -1[-1 + 4x + 2x] = 9(x + 4) Combine like terms: 4x + 2x = 6x 2 + -1[-1 + 6x] = 9(x + 4) 2 + [-1 * -1 + 6x * -1] = 9(x + 4) 2 + [1 + -6x] = 9(x + 4) Combine like terms: 2 + 1 = 3 3 + -6x = 9(x + 4) Reorder the terms: 3 + -6x = 9(4 + x) 3 + -6x = (4 * 9 + x * 9) 3 + -6x = (36 + 9x) Solving 3 + -6x = 36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + -6x + -9x = 36 + 9x + -9x Combine like terms: -6x + -9x = -15x 3 + -15x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -15x = 36 + 0 3 + -15x = 36 Add '-3' to each side of the equation. 3 + -3 + -15x = 36 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = 36 + -3 -15x = 36 + -3 Combine like terms: 36 + -3 = 33 -15x = 33 Divide each side by '-15'. x = -2.2 Simplifying x = -2.2
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