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Simplifying 7x + -1(ex + -2) = 38 Reorder the terms: 7x + -1(-2 + ex) = 38 7x + (-2 * -1 + ex * -1) = 38 7x + (2 + -1ex) = 38 Reorder the terms: 2 + -1ex + 7x = 38 Solving 2 + -1ex + 7x = 38 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1ex + -2 + 7x = 38 + -2 Reorder the terms: 2 + -2 + -1ex + 7x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -1ex + 7x = 38 + -2 -1ex + 7x = 38 + -2 Combine like terms: 38 + -2 = 36 -1ex + 7x = 36 Add '-7x' to each side of the equation. -1ex + 7x + -7x = 36 + -7x Combine like terms: 7x + -7x = 0 -1ex + 0 = 36 + -7x -1ex = 36 + -7x Divide each side by '-1x'. e = -36x-1 + 7 Simplifying e = -36x-1 + 7 Reorder the terms: e = 7 + -36x-1
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