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Simplifying -5(1 + -5x) + (-8x + -24) = -4x + -8x (1 * -5 + -5x * -5) + (-8x + -24) = -4x + -8x (-5 + 25x) + (-8x + -24) = -4x + -8x Reorder the terms: -5 + 25x + (-24 + -8x) = -4x + -8x Remove parenthesis around (-24 + -8x) -5 + 25x + -24 + -8x = -4x + -8x Reorder the terms: -5 + -24 + 25x + -8x = -4x + -8x Combine like terms: -5 + -24 = -29 -29 + 25x + -8x = -4x + -8x Combine like terms: 25x + -8x = 17x -29 + 17x = -4x + -8x Combine like terms: -4x + -8x = -12x -29 + 17x = -12x Solving -29 + 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. -29 + 17x + 12x = -12x + 12x Combine like terms: 17x + 12x = 29x -29 + 29x = -12x + 12x Combine like terms: -12x + 12x = 0 -29 + 29x = 0 Add '29' to each side of the equation. -29 + 29 + 29x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 29x = 0 + 29 29x = 0 + 29 Combine like terms: 0 + 29 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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