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Simplifying 2(4x + 2) = 12 + 2x Reorder the terms: 2(2 + 4x) = 12 + 2x (2 * 2 + 4x * 2) = 12 + 2x (4 + 8x) = 12 + 2x Solving 4 + 8x = 12 + 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. 4 + 8x + -2x = 12 + 2x + -2x Combine like terms: 8x + -2x = 6x 4 + 6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 6x = 12 + 0 4 + 6x = 12 Add '-4' to each side of the equation. 4 + -4 + 6x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 12 + -4 6x = 12 + -4 Combine like terms: 12 + -4 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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