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Simplifying 5 + -1(1 + -5x) + 5(-8x + -2) = -4x + -8x 5 + (1 * -1 + -5x * -1) + 5(-8x + -2) = -4x + -8x 5 + (-1 + 5x) + 5(-8x + -2) = -4x + -8x Reorder the terms: 5 + -1 + 5x + 5(-2 + -8x) = -4x + -8x 5 + -1 + 5x + (-2 * 5 + -8x * 5) = -4x + -8x 5 + -1 + 5x + (-10 + -40x) = -4x + -8x Reorder the terms: 5 + -1 + -10 + 5x + -40x = -4x + -8x Combine like terms: 5 + -1 = 4 4 + -10 + 5x + -40x = -4x + -8x Combine like terms: 4 + -10 = -6 -6 + 5x + -40x = -4x + -8x Combine like terms: 5x + -40x = -35x -6 + -35x = -4x + -8x Combine like terms: -4x + -8x = -12x -6 + -35x = -12x Solving -6 + -35x = -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. -6 + -35x + 12x = -12x + 12x Combine like terms: -35x + 12x = -23x -6 + -23x = -12x + 12x Combine like terms: -12x + 12x = 0 -6 + -23x = 0 Add '6' to each side of the equation. -6 + 6 + -23x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -23x = 0 + 6 -23x = 0 + 6 Combine like terms: 0 + 6 = 6 -23x = 6 Divide each side by '-23'. x = -0.2608695652 Simplifying x = -0.2608695652
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