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