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Simplifying 3x + 2(-4x + 12) = -6 Reorder the terms: 3x + 2(12 + -4x) = -6 3x + (12 * 2 + -4x * 2) = -6 3x + (24 + -8x) = -6 Reorder the terms: 24 + 3x + -8x = -6 Combine like terms: 3x + -8x = -5x 24 + -5x = -6 Solving 24 + -5x = -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 + -5x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = -6 + -24 -5x = -6 + -24 Combine like terms: -6 + -24 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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