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Simplifying 6 + -2(3x + 2) = -12 Reorder the terms: 6 + -2(2 + 3x) = -12 6 + (2 * -2 + 3x * -2) = -12 6 + (-4 + -6x) = -12 Combine like terms: 6 + -4 = 2 2 + -6x = -12 Solving 2 + -6x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -6x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -12 + -2 -6x = -12 + -2 Combine like terms: -12 + -2 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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