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Simplifying -84 = -6(x + -2) + -6x Reorder the terms: -84 = -6(-2 + x) + -6x -84 = (-2 * -6 + x * -6) + -6x -84 = (12 + -6x) + -6x Combine like terms: -6x + -6x = -12x -84 = 12 + -12x Solving -84 = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -84 + 12x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 -84 + 12x = 12 + 0 -84 + 12x = 12 Add '84' to each side of the equation. -84 + 84 + 12x = 12 + 84 Combine like terms: -84 + 84 = 0 0 + 12x = 12 + 84 12x = 12 + 84 Combine like terms: 12 + 84 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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