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Simplifying 4(2x + 1) = 2(2x + 2) Reorder the terms: 4(1 + 2x) = 2(2x + 2) (1 * 4 + 2x * 4) = 2(2x + 2) (4 + 8x) = 2(2x + 2) Reorder the terms: 4 + 8x = 2(2 + 2x) 4 + 8x = (2 * 2 + 2x * 2) 4 + 8x = (4 + 4x) Add '-4' to each side of the equation. 4 + -4 + 8x = 4 + -4 + 4x Combine like terms: 4 + -4 = 0 0 + 8x = 4 + -4 + 4x 8x = 4 + -4 + 4x Combine like terms: 4 + -4 = 0 8x = 0 + 4x 8x = 4x Solving 8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8x + -4x = 4x + -4x Combine like terms: 8x + -4x = 4x 4x = 4x + -4x Combine like terms: 4x + -4x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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