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Simplifying 12(4x + 6) = 2x Reorder the terms: 12(6 + 4x) = 2x (6 * 12 + 4x * 12) = 2x (72 + 48x) = 2x Solving 72 + 48x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 72 + 48x + -2x = 2x + -2x Combine like terms: 48x + -2x = 46x 72 + 46x = 2x + -2x Combine like terms: 2x + -2x = 0 72 + 46x = 0 Add '-72' to each side of the equation. 72 + -72 + 46x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 46x = 0 + -72 46x = 0 + -72 Combine like terms: 0 + -72 = -72 46x = -72 Divide each side by '46'. x = -1.565217391 Simplifying x = -1.565217391
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