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Simplifying 2(2x + 8) = 2(4x + 8) Reorder the terms: 2(8 + 2x) = 2(4x + 8) (8 * 2 + 2x * 2) = 2(4x + 8) (16 + 4x) = 2(4x + 8) Reorder the terms: 16 + 4x = 2(8 + 4x) 16 + 4x = (8 * 2 + 4x * 2) 16 + 4x = (16 + 8x) Add '-16' to each side of the equation. 16 + -16 + 4x = 16 + -16 + 8x Combine like terms: 16 + -16 = 0 0 + 4x = 16 + -16 + 8x 4x = 16 + -16 + 8x Combine like terms: 16 + -16 = 0 4x = 0 + 8x 4x = 8x Solving 4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x -4x = 8x + -8x Combine like terms: 8x + -8x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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