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Simplifying -5(1 + -5x) + (-8x + -2) = -12x (1 * -5 + -5x * -5) + (-8x + -2) = -12x (-5 + 25x) + (-8x + -2) = -12x Reorder the terms: -5 + 25x + (-2 + -8x) = -12x Remove parenthesis around (-2 + -8x) -5 + 25x + -2 + -8x = -12x Reorder the terms: -5 + -2 + 25x + -8x = -12x Combine like terms: -5 + -2 = -7 -7 + 25x + -8x = -12x Combine like terms: 25x + -8x = 17x -7 + 17x = -12x Solving -7 + 17x = -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. -7 + 17x + 12x = -12x + 12x Combine like terms: 17x + 12x = 29x -7 + 29x = -12x + 12x Combine like terms: -12x + 12x = 0 -7 + 29x = 0 Add '7' to each side of the equation. -7 + 7 + 29x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 29x = 0 + 7 29x = 0 + 7 Combine like terms: 0 + 7 = 7 29x = 7 Divide each side by '29'. x = 0.2413793103 Simplifying x = 0.2413793103
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