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Simplifying -6(4 + x) = 78 (4 * -6 + x * -6) = 78 (-24 + -6x) = 78 Solving -24 + -6x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -6x = 78 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = 78 + 24 -6x = 78 + 24 Combine like terms: 78 + 24 = 102 -6x = 102 Divide each side by '-6'. x = -17 Simplifying x = -17
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