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Simplifying 4(-2 + -3x) = -3(2 + x) + 3x + 12 (-2 * 4 + -3x * 4) = -3(2 + x) + 3x + 12 (-8 + -12x) = -3(2 + x) + 3x + 12 -8 + -12x = (2 * -3 + x * -3) + 3x + 12 -8 + -12x = (-6 + -3x) + 3x + 12 Reorder the terms: -8 + -12x = -6 + 12 + -3x + 3x Combine like terms: -6 + 12 = 6 -8 + -12x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + -12x = 6 + 0 -8 + -12x = 6 Solving -8 + -12x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -12x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = 6 + 8 -12x = 6 + 8 Combine like terms: 6 + 8 = 14 -12x = 14 Divide each side by '-12'. x = -1.166666667 Simplifying x = -1.166666667
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