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Simplifying 20(-501 + -5x) + 5 + -8x + -2 = -4x + -8x (-501 * 20 + -5x * 20) + 5 + -8x + -2 = -4x + -8x (-10020 + -100x) + 5 + -8x + -2 = -4x + -8x Reorder the terms: -10020 + 5 + -2 + -100x + -8x = -4x + -8x Combine like terms: -10020 + 5 = -10015 -10015 + -2 + -100x + -8x = -4x + -8x Combine like terms: -10015 + -2 = -10017 -10017 + -100x + -8x = -4x + -8x Combine like terms: -100x + -8x = -108x -10017 + -108x = -4x + -8x Combine like terms: -4x + -8x = -12x -10017 + -108x = -12x Solving -10017 + -108x = -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. -10017 + -108x + 12x = -12x + 12x Combine like terms: -108x + 12x = -96x -10017 + -96x = -12x + 12x Combine like terms: -12x + 12x = 0 -10017 + -96x = 0 Add '10017' to each side of the equation. -10017 + 10017 + -96x = 0 + 10017 Combine like terms: -10017 + 10017 = 0 0 + -96x = 0 + 10017 -96x = 0 + 10017 Combine like terms: 0 + 10017 = 10017 -96x = 10017 Divide each side by '-96'. x = -104.34375 Simplifying x = -104.34375
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