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Simplifying 7e(x) = 12 + -1e(-1x) Multiply e * x 7ex = 12 + -1e(-1x) Remove parenthesis around (-1x) 7ex = 12 + -1e * -1x Reorder the terms for easier multiplication: 7ex = 12 + -1 * -1e * x Multiply -1 * -1 7ex = 12 + 1e * x Multiply e * x 7ex = 12 + 1ex Solving 7ex = 12 + 1ex Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1ex' to each side of the equation. 7ex + -1ex = 12 + 1ex + -1ex Combine like terms: 7ex + -1ex = 6ex 6ex = 12 + 1ex + -1ex Combine like terms: 1ex + -1ex = 0 6ex = 12 + 0 6ex = 12 Divide each side by '6x'. e = 2x-1 Simplifying e = 2x-1
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