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Simplifying 2(4x + 1) = 4(2 + -1x) Reorder the terms: 2(1 + 4x) = 4(2 + -1x) (1 * 2 + 4x * 2) = 4(2 + -1x) (2 + 8x) = 4(2 + -1x) 2 + 8x = (2 * 4 + -1x * 4) 2 + 8x = (8 + -4x) Solving 2 + 8x = 8 + -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. 2 + 8x + 4x = 8 + -4x + 4x Combine like terms: 8x + 4x = 12x 2 + 12x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 12x = 8 + 0 2 + 12x = 8 Add '-2' to each side of the equation. 2 + -2 + 12x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 8 + -2 12x = 8 + -2 Combine like terms: 8 + -2 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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