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Simplifying 6(x + 2) = 2(2x + 4) Reorder the terms: 6(2 + x) = 2(2x + 4) (2 * 6 + x * 6) = 2(2x + 4) (12 + 6x) = 2(2x + 4) Reorder the terms: 12 + 6x = 2(4 + 2x) 12 + 6x = (4 * 2 + 2x * 2) 12 + 6x = (8 + 4x) Solving 12 + 6x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 6x + -4x = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = 8 + 0 12 + 2x = 8 Add '-12' to each side of the equation. 12 + -12 + 2x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 8 + -12 2x = 8 + -12 Combine like terms: 8 + -12 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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