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