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Simplifying -6x + -6(-2x + -6) = 78 Reorder the terms: -6x + -6(-6 + -2x) = 78 -6x + (-6 * -6 + -2x * -6) = 78 -6x + (36 + 12x) = 78 Reorder the terms: 36 + -6x + 12x = 78 Combine like terms: -6x + 12x = 6x 36 + 6x = 78 Solving 36 + 6x = 78 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 = 78 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 78 + -36 6x = 78 + -36 Combine like terms: 78 + -36 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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