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Simplifying 7x + 6(-2x + -18) = -78 Reorder the terms: 7x + 6(-18 + -2x) = -78 7x + (-18 * 6 + -2x * 6) = -78 7x + (-108 + -12x) = -78 Reorder the terms: -108 + 7x + -12x = -78 Combine like terms: 7x + -12x = -5x -108 + -5x = -78 Solving -108 + -5x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 108 + -5x = -78 + 108 Combine like terms: -108 + 108 = 0 0 + -5x = -78 + 108 -5x = -78 + 108 Combine like terms: -78 + 108 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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