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Simplifying -5(1 + -5x) = 4(3x + -1) + -1 (1 * -5 + -5x * -5) = 4(3x + -1) + -1 (-5 + 25x) = 4(3x + -1) + -1 Reorder the terms: -5 + 25x = 4(-1 + 3x) + -1 -5 + 25x = (-1 * 4 + 3x * 4) + -1 -5 + 25x = (-4 + 12x) + -1 Reorder the terms: -5 + 25x = -4 + -1 + 12x Combine like terms: -4 + -1 = -5 -5 + 25x = -5 + 12x Add '5' to each side of the equation. -5 + 5 + 25x = -5 + 5 + 12x Combine like terms: -5 + 5 = 0 0 + 25x = -5 + 5 + 12x 25x = -5 + 5 + 12x Combine like terms: -5 + 5 = 0 25x = 0 + 12x 25x = 12x Solving 25x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 25x + -12x = 12x + -12x Combine like terms: 25x + -12x = 13x 13x = 12x + -12x Combine like terms: 12x + -12x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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