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Simplifying -8(12 + -6x) = 12(-8 + 8x) (12 * -8 + -6x * -8) = 12(-8 + 8x) (-96 + 48x) = 12(-8 + 8x) -96 + 48x = (-8 * 12 + 8x * 12) -96 + 48x = (-96 + 96x) Add '96' to each side of the equation. -96 + 96 + 48x = -96 + 96 + 96x Combine like terms: -96 + 96 = 0 0 + 48x = -96 + 96 + 96x 48x = -96 + 96 + 96x Combine like terms: -96 + 96 = 0 48x = 0 + 96x 48x = 96x Solving 48x = 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 48x + -96x = 96x + -96x Combine like terms: 48x + -96x = -48x -48x = 96x + -96x Combine like terms: 96x + -96x = 0 -48x = 0 Divide each side by '-48'. x = 0 Simplifying x = 0
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