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Simplifying 20(13x + 4) = 35(x + -5) Reorder the terms: 20(4 + 13x) = 35(x + -5) (4 * 20 + 13x * 20) = 35(x + -5) (80 + 260x) = 35(x + -5) Reorder the terms: 80 + 260x = 35(-5 + x) 80 + 260x = (-5 * 35 + x * 35) 80 + 260x = (-175 + 35x) Solving 80 + 260x = -175 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 80 + 260x + -35x = -175 + 35x + -35x Combine like terms: 260x + -35x = 225x 80 + 225x = -175 + 35x + -35x Combine like terms: 35x + -35x = 0 80 + 225x = -175 + 0 80 + 225x = -175 Add '-80' to each side of the equation. 80 + -80 + 225x = -175 + -80 Combine like terms: 80 + -80 = 0 0 + 225x = -175 + -80 225x = -175 + -80 Combine like terms: -175 + -80 = -255 225x = -255 Divide each side by '225'. x = -1.133333333 Simplifying x = -1.133333333
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