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Simplifying 2(3x + 6) = -32 + 38 Reorder the terms: 2(6 + 3x) = -32 + 38 (6 * 2 + 3x * 2) = -32 + 38 (12 + 6x) = -32 + 38 Combine like terms: -32 + 38 = 6 12 + 6x = 6 Solving 12 + 6x = 6 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 = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 6 + -12 6x = 6 + -12 Combine like terms: 6 + -12 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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