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Simplifying 2(3x + 6) + 6(x + -1) = -12 Reorder the terms: 2(6 + 3x) + 6(x + -1) = -12 (6 * 2 + 3x * 2) + 6(x + -1) = -12 (12 + 6x) + 6(x + -1) = -12 Reorder the terms: 12 + 6x + 6(-1 + x) = -12 12 + 6x + (-1 * 6 + x * 6) = -12 12 + 6x + (-6 + 6x) = -12 Reorder the terms: 12 + -6 + 6x + 6x = -12 Combine like terms: 12 + -6 = 6 6 + 6x + 6x = -12 Combine like terms: 6x + 6x = 12x 6 + 12x = -12 Solving 6 + 12x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -12 + -6 12x = -12 + -6 Combine like terms: -12 + -6 = -18 12x = -18 Divide each side by '12'. x = -1.5 Simplifying x = -1.5
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