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Simplifying -3(8 + -2x) = -6(x + -8) (8 * -3 + -2x * -3) = -6(x + -8) (-24 + 6x) = -6(x + -8) Reorder the terms: -24 + 6x = -6(-8 + x) -24 + 6x = (-8 * -6 + x * -6) -24 + 6x = (48 + -6x) Solving -24 + 6x = 48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 6x + 6x = 48 + -6x + 6x Combine like terms: 6x + 6x = 12x -24 + 12x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 12x = 48 + 0 -24 + 12x = 48 Add '24' to each side of the equation. -24 + 24 + 12x = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 48 + 24 12x = 48 + 24 Combine like terms: 48 + 24 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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