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Simplifying 3(2x + 4e) = 4(3x + 2e) Reorder the terms: 3(4e + 2x) = 4(3x + 2e) (4e * 3 + 2x * 3) = 4(3x + 2e) (12e + 6x) = 4(3x + 2e) Reorder the terms: 12e + 6x = 4(2e + 3x) 12e + 6x = (2e * 4 + 3x * 4) 12e + 6x = (8e + 12x) Solving 12e + 6x = 8e + 12x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-8e' to each side of the equation. 12e + -8e + 6x = 8e + -8e + 12x Combine like terms: 12e + -8e = 4e 4e + 6x = 8e + -8e + 12x Combine like terms: 8e + -8e = 0 4e + 6x = 0 + 12x 4e + 6x = 12x Add '-6x' to each side of the equation. 4e + 6x + -6x = 12x + -6x Combine like terms: 6x + -6x = 0 4e + 0 = 12x + -6x 4e = 12x + -6x Combine like terms: 12x + -6x = 6x 4e = 6x Divide each side by '4'. e = 1.5x Simplifying e = 1.5x
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