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Simplifying 40(x + -5) = 50(x + 5) Reorder the terms: 40(-5 + x) = 50(x + 5) (-5 * 40 + x * 40) = 50(x + 5) (-200 + 40x) = 50(x + 5) Reorder the terms: -200 + 40x = 50(5 + x) -200 + 40x = (5 * 50 + x * 50) -200 + 40x = (250 + 50x) Solving -200 + 40x = 250 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -200 + 40x + -50x = 250 + 50x + -50x Combine like terms: 40x + -50x = -10x -200 + -10x = 250 + 50x + -50x Combine like terms: 50x + -50x = 0 -200 + -10x = 250 + 0 -200 + -10x = 250 Add '200' to each side of the equation. -200 + 200 + -10x = 250 + 200 Combine like terms: -200 + 200 = 0 0 + -10x = 250 + 200 -10x = 250 + 200 Combine like terms: 250 + 200 = 450 -10x = 450 Divide each side by '-10'. x = -45 Simplifying x = -45
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