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Simplifying -7(6 + -6x) = -84 (6 * -7 + -6x * -7) = -84 (-42 + 42x) = -84 Solving -42 + 42x = -84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 42x = -84 + 42 Combine like terms: -42 + 42 = 0 0 + 42x = -84 + 42 42x = -84 + 42 Combine like terms: -84 + 42 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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