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Simplifying -6(3x + 12) + 6x = 12 Reorder the terms: -6(12 + 3x) + 6x = 12 (12 * -6 + 3x * -6) + 6x = 12 (-72 + -18x) + 6x = 12 Combine like terms: -18x + 6x = -12x -72 + -12x = 12 Solving -72 + -12x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -12x = 12 + 72 Combine like terms: -72 + 72 = 0 0 + -12x = 12 + 72 -12x = 12 + 72 Combine like terms: 12 + 72 = 84 -12x = 84 Divide each side by '-12'. x = -7 Simplifying x = -7
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