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Simplifying 20(3 + -1x) = 15(x + -5) (3 * 20 + -1x * 20) = 15(x + -5) (60 + -20x) = 15(x + -5) Reorder the terms: 60 + -20x = 15(-5 + x) 60 + -20x = (-5 * 15 + x * 15) 60 + -20x = (-75 + 15x) Solving 60 + -20x = -75 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 60 + -20x + -15x = -75 + 15x + -15x Combine like terms: -20x + -15x = -35x 60 + -35x = -75 + 15x + -15x Combine like terms: 15x + -15x = 0 60 + -35x = -75 + 0 60 + -35x = -75 Add '-60' to each side of the equation. 60 + -60 + -35x = -75 + -60 Combine like terms: 60 + -60 = 0 0 + -35x = -75 + -60 -35x = -75 + -60 Combine like terms: -75 + -60 = -135 -35x = -135 Divide each side by '-35'. x = 3.857142857 Simplifying x = 3.857142857
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