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Simplifying -5(1 + -5X) + 5(-8X + -2) = 10 (1 * -5 + -5X * -5) + 5(-8X + -2) = 10 (-5 + 25X) + 5(-8X + -2) = 10 Reorder the terms: -5 + 25X + 5(-2 + -8X) = 10 -5 + 25X + (-2 * 5 + -8X * 5) = 10 -5 + 25X + (-10 + -40X) = 10 Reorder the terms: -5 + -10 + 25X + -40X = 10 Combine like terms: -5 + -10 = -15 -15 + 25X + -40X = 10 Combine like terms: 25X + -40X = -15X -15 + -15X = 10 Solving -15 + -15X = 10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -15X = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -15X = 10 + 15 -15X = 10 + 15 Combine like terms: 10 + 15 = 25 -15X = 25 Divide each side by '-15'. X = -1.666666667 Simplifying X = -1.666666667
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