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Simplifying -6(x + 7) + 7(ex + 1) = 0 Reorder the terms: -6(7 + x) + 7(ex + 1) = 0 (7 * -6 + x * -6) + 7(ex + 1) = 0 (-42 + -6x) + 7(ex + 1) = 0 Reorder the terms: -42 + -6x + 7(1 + ex) = 0 -42 + -6x + (1 * 7 + ex * 7) = 0 -42 + -6x + (7 + 7ex) = 0 Reorder the terms: -42 + 7 + 7ex + -6x = 0 Combine like terms: -42 + 7 = -35 -35 + 7ex + -6x = 0 Solving -35 + 7ex + -6x = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 7ex + 35 + -6x = 0 + 35 Reorder the terms: -35 + 35 + 7ex + -6x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7ex + -6x = 0 + 35 7ex + -6x = 0 + 35 Combine like terms: 0 + 35 = 35 7ex + -6x = 35 Add '6x' to each side of the equation. 7ex + -6x + 6x = 35 + 6x Combine like terms: -6x + 6x = 0 7ex + 0 = 35 + 6x 7ex = 35 + 6x Divide each side by '7x'. e = 5x-1 + 0.8571428571 Simplifying e = 5x-1 + 0.8571428571 Reorder the terms: e = 0.8571428571 + 5x-1
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