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Simplifying 5(1 + -5x) + 5(-8x + -2) = -4x + -8x (1 * 5 + -5x * 5) + 5(-8x + -2) = -4x + -8x (5 + -25x) + 5(-8x + -2) = -4x + -8x Reorder the terms: 5 + -25x + 5(-2 + -8x) = -4x + -8x 5 + -25x + (-2 * 5 + -8x * 5) = -4x + -8x 5 + -25x + (-10 + -40x) = -4x + -8x Reorder the terms: 5 + -10 + -25x + -40x = -4x + -8x Combine like terms: 5 + -10 = -5 -5 + -25x + -40x = -4x + -8x Combine like terms: -25x + -40x = -65x -5 + -65x = -4x + -8x Combine like terms: -4x + -8x = -12x -5 + -65x = -12x Solving -5 + -65x = -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. -5 + -65x + 12x = -12x + 12x Combine like terms: -65x + 12x = -53x -5 + -53x = -12x + 12x Combine like terms: -12x + 12x = 0 -5 + -53x = 0 Add '5' to each side of the equation. -5 + 5 + -53x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -53x = 0 + 5 -53x = 0 + 5 Combine like terms: 0 + 5 = 5 -53x = 5 Divide each side by '-53'. x = -0.09433962264 Simplifying x = -0.09433962264
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