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Simplifying -8(2 + -1x) = 20(x + 25) (2 * -8 + -1x * -8) = 20(x + 25) (-16 + 8x) = 20(x + 25) Reorder the terms: -16 + 8x = 20(25 + x) -16 + 8x = (25 * 20 + x * 20) -16 + 8x = (500 + 20x) Solving -16 + 8x = 500 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -16 + 8x + -20x = 500 + 20x + -20x Combine like terms: 8x + -20x = -12x -16 + -12x = 500 + 20x + -20x Combine like terms: 20x + -20x = 0 -16 + -12x = 500 + 0 -16 + -12x = 500 Add '16' to each side of the equation. -16 + 16 + -12x = 500 + 16 Combine like terms: -16 + 16 = 0 0 + -12x = 500 + 16 -12x = 500 + 16 Combine like terms: 500 + 16 = 516 -12x = 516 Divide each side by '-12'. x = -43 Simplifying x = -43
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