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Simplifying 12 + -3(4x + -4) = -6 Reorder the terms: 12 + -3(-4 + 4x) = -6 12 + (-4 * -3 + 4x * -3) = -6 12 + (12 + -12x) = -6 Combine like terms: 12 + 12 = 24 24 + -12x = -6 Solving 24 + -12x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -12x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = -6 + -24 -12x = -6 + -24 Combine like terms: -6 + -24 = -30 -12x = -30 Divide each side by '-12'. x = 2.5 Simplifying x = 2.5
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