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Simplifying -84 = 6x + 6(x + 2) Reorder the terms: -84 = 6x + 6(2 + x) -84 = 6x + (2 * 6 + x * 6) -84 = 6x + (12 + 6x) Reorder the terms: -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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