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Simplifying -6(7 + x) = -84 (7 * -6 + x * -6) = -84 (-42 + -6x) = -84 Solving -42 + -6x = -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 + -6x = -84 + 42 Combine like terms: -42 + 42 = 0 0 + -6x = -84 + 42 -6x = -84 + 42 Combine like terms: -84 + 42 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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