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Simplifying 6x + -20e(-0.5x) + 15 = 0 Remove parenthesis around (-0.5x) 6x + -20e * -0.5x + 15 = 0 Reorder the terms for easier multiplication: 6x + -20 * -0.5e * x + 15 = 0 Multiply -20 * -0.5 6x + 10e * x + 15 = 0 Multiply e * x 6x + 10ex + 15 = 0 Reorder the terms: 15 + 10ex + 6x = 0 Solving 15 + 10ex + 6x = 0 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 + 10ex + -15 + 6x = 0 + -15 Reorder the terms: 15 + -15 + 10ex + 6x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 10ex + 6x = 0 + -15 10ex + 6x = 0 + -15 Combine like terms: 0 + -15 = -15 10ex + 6x = -15 Add '-6x' to each side of the equation. 10ex + 6x + -6x = -15 + -6x Combine like terms: 6x + -6x = 0 10ex + 0 = -15 + -6x 10ex = -15 + -6x Divide each side by '10x'. e = -1.5x-1 + -0.6 Simplifying e = -1.5x-1 + -0.6 Reorder the terms: e = -0.6 + -1.5x-1
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