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Simplifying -5(1 + -5x) + 5(-8x + -2) = 0 (1 * -5 + -5x * -5) + 5(-8x + -2) = 0 (-5 + 25x) + 5(-8x + -2) = 0 Reorder the terms: -5 + 25x + 5(-2 + -8x) = 0 -5 + 25x + (-2 * 5 + -8x * 5) = 0 -5 + 25x + (-10 + -40x) = 0 Reorder the terms: -5 + -10 + 25x + -40x = 0 Combine like terms: -5 + -10 = -15 -15 + 25x + -40x = 0 Combine like terms: 25x + -40x = -15x -15 + -15x = 0 Solving -15 + -15x = 0 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 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -15x = 0 + 15 -15x = 0 + 15 Combine like terms: 0 + 15 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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