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Simplifying 6x + -2(ex + -5) = 10 Reorder the terms: 6x + -2(-5 + ex) = 10 6x + (-5 * -2 + ex * -2) = 10 6x + (10 + -2ex) = 10 Reorder the terms: 10 + -2ex + 6x = 10 Add '-10' to each side of the equation. 10 + -2ex + -10 + 6x = 10 + -10 Reorder the terms: 10 + -10 + -2ex + 6x = 10 + -10 Combine like terms: 10 + -10 = 0 0 + -2ex + 6x = 10 + -10 -2ex + 6x = 10 + -10 Combine like terms: 10 + -10 = 0 -2ex + 6x = 0 Solving -2ex + 6x = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6x' to each side of the equation. -2ex + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 -2ex + 0 = 0 + -6x -2ex = 0 + -6x Remove the zero: -2ex = -6x Divide each side by '-2x'. e = 3 Simplifying e = 3
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