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Simplifying 12(6x + 8) + -24 = 6x + 72 Reorder the terms: 12(8 + 6x) + -24 = 6x + 72 (8 * 12 + 6x * 12) + -24 = 6x + 72 (96 + 72x) + -24 = 6x + 72 Reorder the terms: 96 + -24 + 72x = 6x + 72 Combine like terms: 96 + -24 = 72 72 + 72x = 6x + 72 Reorder the terms: 72 + 72x = 72 + 6x Add '-72' to each side of the equation. 72 + -72 + 72x = 72 + -72 + 6x Combine like terms: 72 + -72 = 0 0 + 72x = 72 + -72 + 6x 72x = 72 + -72 + 6x Combine like terms: 72 + -72 = 0 72x = 0 + 6x 72x = 6x Solving 72x = 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. 72x + -6x = 6x + -6x Combine like terms: 72x + -6x = 66x 66x = 6x + -6x Combine like terms: 6x + -6x = 0 66x = 0 Divide each side by '66'. x = 0 Simplifying x = 0
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