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Simplifying 12(4x + 6) = 12(9x + -24) Reorder the terms: 12(6 + 4x) = 12(9x + -24) (6 * 12 + 4x * 12) = 12(9x + -24) (72 + 48x) = 12(9x + -24) Reorder the terms: 72 + 48x = 12(-24 + 9x) 72 + 48x = (-24 * 12 + 9x * 12) 72 + 48x = (-288 + 108x) Solving 72 + 48x = -288 + 108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108x' to each side of the equation. 72 + 48x + -108x = -288 + 108x + -108x Combine like terms: 48x + -108x = -60x 72 + -60x = -288 + 108x + -108x Combine like terms: 108x + -108x = 0 72 + -60x = -288 + 0 72 + -60x = -288 Add '-72' to each side of the equation. 72 + -72 + -60x = -288 + -72 Combine like terms: 72 + -72 = 0 0 + -60x = -288 + -72 -60x = -288 + -72 Combine like terms: -288 + -72 = -360 -60x = -360 Divide each side by '-60'. x = 6 Simplifying x = 6
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