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Simplifying -117 = -3(4x + 8) + 8 Reorder the terms: -117 = -3(8 + 4x) + 8 -117 = (8 * -3 + 4x * -3) + 8 -117 = (-24 + -12x) + 8 Reorder the terms: -117 = -24 + 8 + -12x Combine like terms: -24 + 8 = -16 -117 = -16 + -12x Solving -117 = -16 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -117 + 12x = -16 + -12x + 12x Combine like terms: -12x + 12x = 0 -117 + 12x = -16 + 0 -117 + 12x = -16 Add '117' to each side of the equation. -117 + 117 + 12x = -16 + 117 Combine like terms: -117 + 117 = 0 0 + 12x = -16 + 117 12x = -16 + 117 Combine like terms: -16 + 117 = 101 12x = 101 Divide each side by '12'. x = 8.416666667 Simplifying x = 8.416666667
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