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Simplifying -50(1 + -5x) + 5(-8x + -2) = -4x + -8x (1 * -50 + -5x * -50) + 5(-8x + -2) = -4x + -8x (-50 + 250x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -50 + 250x + 5(-2 + -8x) = -4x + -8x -50 + 250x + (-2 * 5 + -8x * 5) = -4x + -8x -50 + 250x + (-10 + -40x) = -4x + -8x Reorder the terms: -50 + -10 + 250x + -40x = -4x + -8x Combine like terms: -50 + -10 = -60 -60 + 250x + -40x = -4x + -8x Combine like terms: 250x + -40x = 210x -60 + 210x = -4x + -8x Combine like terms: -4x + -8x = -12x -60 + 210x = -12x Solving -60 + 210x = -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. -60 + 210x + 12x = -12x + 12x Combine like terms: 210x + 12x = 222x -60 + 222x = -12x + 12x Combine like terms: -12x + 12x = 0 -60 + 222x = 0 Add '60' to each side of the equation. -60 + 60 + 222x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 222x = 0 + 60 222x = 0 + 60 Combine like terms: 0 + 60 = 60 222x = 60 Divide each side by '222'. x = 0.2702702703 Simplifying x = 0.2702702703
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