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