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