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Simplifying -5(1 + -5x) = 8x + -5 (1 * -5 + -5x * -5) = 8x + -5 (-5 + 25x) = 8x + -5 Reorder the terms: -5 + 25x = -5 + 8x Add '5' to each side of the equation. -5 + 5 + 25x = -5 + 5 + 8x Combine like terms: -5 + 5 = 0 0 + 25x = -5 + 5 + 8x 25x = -5 + 5 + 8x Combine like terms: -5 + 5 = 0 25x = 0 + 8x 25x = 8x Solving 25x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 25x + -8x = 8x + -8x Combine like terms: 25x + -8x = 17x 17x = 8x + -8x Combine like terms: 8x + -8x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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