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Simplifying 35(x + -5) = 40(x + 5) Reorder the terms: 35(-5 + x) = 40(x + 5) (-5 * 35 + x * 35) = 40(x + 5) (-175 + 35x) = 40(x + 5) Reorder the terms: -175 + 35x = 40(5 + x) -175 + 35x = (5 * 40 + x * 40) -175 + 35x = (200 + 40x) Solving -175 + 35x = 200 + 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. -175 + 35x + -40x = 200 + 40x + -40x Combine like terms: 35x + -40x = -5x -175 + -5x = 200 + 40x + -40x Combine like terms: 40x + -40x = 0 -175 + -5x = 200 + 0 -175 + -5x = 200 Add '175' to each side of the equation. -175 + 175 + -5x = 200 + 175 Combine like terms: -175 + 175 = 0 0 + -5x = 200 + 175 -5x = 200 + 175 Combine like terms: 200 + 175 = 375 -5x = 375 Divide each side by '-5'. x = -75 Simplifying x = -75
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