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Simplifying -4(3x + 8) = -116 Reorder the terms: -4(8 + 3x) = -116 (8 * -4 + 3x * -4) = -116 (-32 + -12x) = -116 Solving -32 + -12x = -116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -12x = -116 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = -116 + 32 -12x = -116 + 32 Combine like terms: -116 + 32 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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