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Simplifying -6x + -6(x + 13) = -162 Reorder the terms: -6x + -6(13 + x) = -162 -6x + (13 * -6 + x * -6) = -162 -6x + (-78 + -6x) = -162 Reorder the terms: -78 + -6x + -6x = -162 Combine like terms: -6x + -6x = -12x -78 + -12x = -162 Solving -78 + -12x = -162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + -12x = -162 + 78 Combine like terms: -78 + 78 = 0 0 + -12x = -162 + 78 -12x = -162 + 78 Combine like terms: -162 + 78 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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