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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 = -22 6x = -22 Divide each side by '6'. x = -3.666666667 Simplifying x = -3.666666667
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