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