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Simplifying 20(-1x + 5) = -8(x + -5) Reorder the terms: 20(5 + -1x) = -8(x + -5) (5 * 20 + -1x * 20) = -8(x + -5) (100 + -20x) = -8(x + -5) Reorder the terms: 100 + -20x = -8(-5 + x) 100 + -20x = (-5 * -8 + x * -8) 100 + -20x = (40 + -8x) Solving 100 + -20x = 40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 100 + -20x + 8x = 40 + -8x + 8x Combine like terms: -20x + 8x = -12x 100 + -12x = 40 + -8x + 8x Combine like terms: -8x + 8x = 0 100 + -12x = 40 + 0 100 + -12x = 40 Add '-100' to each side of the equation. 100 + -100 + -12x = 40 + -100 Combine like terms: 100 + -100 = 0 0 + -12x = 40 + -100 -12x = 40 + -100 Combine like terms: 40 + -100 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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