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Simplifying -55(1 + -5x) + 5(-8x + -2) = -4x + -8x (1 * -55 + -5x * -55) + 5(-8x + -2) = -4x + -8x (-55 + 275x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -55 + 275x + 5(-2 + -8x) = -4x + -8x -55 + 275x + (-2 * 5 + -8x * 5) = -4x + -8x -55 + 275x + (-10 + -40x) = -4x + -8x Reorder the terms: -55 + -10 + 275x + -40x = -4x + -8x Combine like terms: -55 + -10 = -65 -65 + 275x + -40x = -4x + -8x Combine like terms: 275x + -40x = 235x -65 + 235x = -4x + -8x Combine like terms: -4x + -8x = -12x -65 + 235x = -12x Solving -65 + 235x = -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. -65 + 235x + 12x = -12x + 12x Combine like terms: 235x + 12x = 247x -65 + 247x = -12x + 12x Combine like terms: -12x + 12x = 0 -65 + 247x = 0 Add '65' to each side of the equation. -65 + 65 + 247x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 247x = 0 + 65 247x = 0 + 65 Combine like terms: 0 + 65 = 65 247x = 65 Divide each side by '247'. x = 0.2631578947 Simplifying x = 0.2631578947
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