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Simplifying -8x + 24 = -12(x + -6) Reorder the terms: 24 + -8x = -12(x + -6) Reorder the terms: 24 + -8x = -12(-6 + x) 24 + -8x = (-6 * -12 + x * -12) 24 + -8x = (72 + -12x) Solving 24 + -8x = 72 + -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. 24 + -8x + 12x = 72 + -12x + 12x Combine like terms: -8x + 12x = 4x 24 + 4x = 72 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + 4x = 72 + 0 24 + 4x = 72 Add '-24' to each side of the equation. 24 + -24 + 4x = 72 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 72 + -24 4x = 72 + -24 Combine like terms: 72 + -24 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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