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Simplifying 6 + -3(-2 + -4x) = 2[3(x + 4) + -7] 6 + (-2 * -3 + -4x * -3) = 2[3(x + 4) + -7] 6 + (6 + 12x) = 2[3(x + 4) + -7] Combine like terms: 6 + 6 = 12 12 + 12x = 2[3(x + 4) + -7] Reorder the terms: 12 + 12x = 2[3(4 + x) + -7] 12 + 12x = 2[(4 * 3 + x * 3) + -7] 12 + 12x = 2[(12 + 3x) + -7] Reorder the terms: 12 + 12x = 2[12 + -7 + 3x] Combine like terms: 12 + -7 = 5 12 + 12x = 2[5 + 3x] 12 + 12x = [5 * 2 + 3x * 2] 12 + 12x = [10 + 6x] Solving 12 + 12x = 10 + 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. 12 + 12x + -6x = 10 + 6x + -6x Combine like terms: 12x + -6x = 6x 12 + 6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 6x = 10 + 0 12 + 6x = 10 Add '-12' to each side of the equation. 12 + -12 + 6x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 10 + -12 6x = 10 + -12 Combine like terms: 10 + -12 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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