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Simplifying 6ex + 2 = 2ex + 10 Reorder the terms: 2 + 6ex = 2ex + 10 Reorder the terms: 2 + 6ex = 10 + 2ex Solving 2 + 6ex = 10 + 2ex Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2ex' to each side of the equation. 2 + 6ex + -2ex = 10 + 2ex + -2ex Combine like terms: 6ex + -2ex = 4ex 2 + 4ex = 10 + 2ex + -2ex Combine like terms: 2ex + -2ex = 0 2 + 4ex = 10 + 0 2 + 4ex = 10 Add '-2' to each side of the equation. 2 + -2 + 4ex = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4ex = 10 + -2 4ex = 10 + -2 Combine like terms: 10 + -2 = 8 4ex = 8 Divide each side by '4x'. e = 2x-1 Simplifying e = 2x-1
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