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Simplifying 8x + 3(5 + -1e) = 10 8x + (5 * 3 + -1e * 3) = 10 8x + (15 + -3e) = 10 Reorder the terms: 15 + -3e + 8x = 10 Solving 15 + -3e + 8x = 10 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -3e + -15 + 8x = 10 + -15 Reorder the terms: 15 + -15 + -3e + 8x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -3e + 8x = 10 + -15 -3e + 8x = 10 + -15 Combine like terms: 10 + -15 = -5 -3e + 8x = -5 Add '-8x' to each side of the equation. -3e + 8x + -8x = -5 + -8x Combine like terms: 8x + -8x = 0 -3e + 0 = -5 + -8x -3e = -5 + -8x Divide each side by '-3'. e = 1.666666667 + 2.666666667x Simplifying e = 1.666666667 + 2.666666667x
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