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Simplifying 2(4x + 2) = 4(3x + 1) Reorder the terms: 2(2 + 4x) = 4(3x + 1) (2 * 2 + 4x * 2) = 4(3x + 1) (4 + 8x) = 4(3x + 1) Reorder the terms: 4 + 8x = 4(1 + 3x) 4 + 8x = (1 * 4 + 3x * 4) 4 + 8x = (4 + 12x) Add '-4' to each side of the equation. 4 + -4 + 8x = 4 + -4 + 12x Combine like terms: 4 + -4 = 0 0 + 8x = 4 + -4 + 12x 8x = 4 + -4 + 12x Combine like terms: 4 + -4 = 0 8x = 0 + 12x 8x = 12x Solving 8x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8x + -12x = 12x + -12x Combine like terms: 8x + -12x = -4x -4x = 12x + -12x Combine like terms: 12x + -12x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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