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Simplifying -12(x + -12) = -9(1 + 7k) Reorder the terms: -12(-12 + x) = -9(1 + 7k) (-12 * -12 + x * -12) = -9(1 + 7k) (144 + -12x) = -9(1 + 7k) 144 + -12x = (1 * -9 + 7k * -9) 144 + -12x = (-9 + -63k) Solving 144 + -12x = -9 + -63k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + -12x = -9 + -144 + -63k Combine like terms: 144 + -144 = 0 0 + -12x = -9 + -144 + -63k -12x = -9 + -144 + -63k Combine like terms: -9 + -144 = -153 -12x = -153 + -63k Divide each side by '-12'. x = 12.75 + 5.25k Simplifying x = 12.75 + 5.25k
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