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Simplifying 5e + 1 = 2e + 7 Reorder the terms: 1 + 5e = 2e + 7 Reorder the terms: 1 + 5e = 7 + 2e Solving 1 + 5e = 7 + 2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2e' to each side of the equation. 1 + 5e + -2e = 7 + 2e + -2e Combine like terms: 5e + -2e = 3e 1 + 3e = 7 + 2e + -2e Combine like terms: 2e + -2e = 0 1 + 3e = 7 + 0 1 + 3e = 7 Add '-1' to each side of the equation. 1 + -1 + 3e = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3e = 7 + -1 3e = 7 + -1 Combine like terms: 7 + -1 = 6 3e = 6 Divide each side by '3'. e = 2 Simplifying e = 2
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