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