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Simplifying -6(x + 6) = -84 Reorder the terms: -6(6 + x) = -84 (6 * -6 + x * -6) = -84 (-36 + -6x) = -84 Solving -36 + -6x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -6x = -84 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = -84 + 36 -6x = -84 + 36 Combine like terms: -84 + 36 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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