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Simplifying -5(1 + -5x) + 5(-8 + -2) = -4x + -8 (1 * -5 + -5x * -5) + 5(-8 + -2) = -4x + -8 (-5 + 25x) + 5(-8 + -2) = -4x + -8 Combine like terms: -8 + -2 = -10 -5 + 25x + 5(-10) = -4x + -8 Multiply 5 * -10 -5 + 25x + -50 = -4x + -8 Reorder the terms: -5 + -50 + 25x = -4x + -8 Combine like terms: -5 + -50 = -55 -55 + 25x = -4x + -8 Reorder the terms: -55 + 25x = -8 + -4x Solving -55 + 25x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -55 + 25x + 4x = -8 + -4x + 4x Combine like terms: 25x + 4x = 29x -55 + 29x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -55 + 29x = -8 + 0 -55 + 29x = -8 Add '55' to each side of the equation. -55 + 55 + 29x = -8 + 55 Combine like terms: -55 + 55 = 0 0 + 29x = -8 + 55 29x = -8 + 55 Combine like terms: -8 + 55 = 47 29x = 47 Divide each side by '29'. x = 1.620689655 Simplifying x = 1.620689655
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