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