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Simplifying 20(-5x + 14) = 40(x + -3) Reorder the terms: 20(14 + -5x) = 40(x + -3) (14 * 20 + -5x * 20) = 40(x + -3) (280 + -100x) = 40(x + -3) Reorder the terms: 280 + -100x = 40(-3 + x) 280 + -100x = (-3 * 40 + x * 40) 280 + -100x = (-120 + 40x) Solving 280 + -100x = -120 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 280 + -100x + -40x = -120 + 40x + -40x Combine like terms: -100x + -40x = -140x 280 + -140x = -120 + 40x + -40x Combine like terms: 40x + -40x = 0 280 + -140x = -120 + 0 280 + -140x = -120 Add '-280' to each side of the equation. 280 + -280 + -140x = -120 + -280 Combine like terms: 280 + -280 = 0 0 + -140x = -120 + -280 -140x = -120 + -280 Combine like terms: -120 + -280 = -400 -140x = -400 Divide each side by '-140'. x = 2.857142857 Simplifying x = 2.857142857
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