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Simplifying 2(4x + 2) = 6x Reorder the terms: 2(2 + 4x) = 6x (2 * 2 + 4x * 2) = 6x (4 + 8x) = 6x Solving 4 + 8x = 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. 4 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 4 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 4 + 2x = 0 Add '-4' to each side of the equation. 4 + -4 + 2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 0 + -4 2x = 0 + -4 Combine like terms: 0 + -4 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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