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Simplifying 4(1 + 2x) = 3(1 + 4x) (1 * 4 + 2x * 4) = 3(1 + 4x) (4 + 8x) = 3(1 + 4x) 4 + 8x = (1 * 3 + 4x * 3) 4 + 8x = (3 + 12x) Solving 4 + 8x = 3 + 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. 4 + 8x + -12x = 3 + 12x + -12x Combine like terms: 8x + -12x = -4x 4 + -4x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -4x = 3 + 0 4 + -4x = 3 Add '-4' to each side of the equation. 4 + -4 + -4x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 3 + -4 -4x = 3 + -4 Combine like terms: 3 + -4 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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