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Simplifying -12(x + 8) = 48 + 4x Reorder the terms: -12(8 + x) = 48 + 4x (8 * -12 + x * -12) = 48 + 4x (-96 + -12x) = 48 + 4x Solving -96 + -12x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -96 + -12x + -4x = 48 + 4x + -4x Combine like terms: -12x + -4x = -16x -96 + -16x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 -96 + -16x = 48 + 0 -96 + -16x = 48 Add '96' to each side of the equation. -96 + 96 + -16x = 48 + 96 Combine like terms: -96 + 96 = 0 0 + -16x = 48 + 96 -16x = 48 + 96 Combine like terms: 48 + 96 = 144 -16x = 144 Divide each side by '-16'. x = -9 Simplifying x = -9
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