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Simplifying -84 = -6(2x + 2) Reorder the terms: -84 = -6(2 + 2x) -84 = (2 * -6 + 2x * -6) -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 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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