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Simplifying -6(2x + 4) = 12x + -24 Reorder the terms: -6(4 + 2x) = 12x + -24 (4 * -6 + 2x * -6) = 12x + -24 (-24 + -12x) = 12x + -24 Reorder the terms: -24 + -12x = -24 + 12x Add '24' to each side of the equation. -24 + 24 + -12x = -24 + 24 + 12x Combine like terms: -24 + 24 = 0 0 + -12x = -24 + 24 + 12x -12x = -24 + 24 + 12x Combine like terms: -24 + 24 = 0 -12x = 0 + 12x -12x = 12x Solving -12x = 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. -12x + -12x = 12x + -12x Combine like terms: -12x + -12x = -24x -24x = 12x + -12x Combine like terms: 12x + -12x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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