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Simplifying 2(3x + 6) = -44 + 32 Reorder the terms: 2(6 + 3x) = -44 + 32 (6 * 2 + 3x * 2) = -44 + 32 (12 + 6x) = -44 + 32 Combine like terms: -44 + 32 = -12 12 + 6x = -12 Solving 12 + 6x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -12 + -12 6x = -12 + -12 Combine like terms: -12 + -12 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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