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Simplifying 40x + -100 = 20x + 100 Reorder the terms: -100 + 40x = 20x + 100 Reorder the terms: -100 + 40x = 100 + 20x Solving -100 + 40x = 100 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -100 + 40x + -20x = 100 + 20x + -20x Combine like terms: 40x + -20x = 20x -100 + 20x = 100 + 20x + -20x Combine like terms: 20x + -20x = 0 -100 + 20x = 100 + 0 -100 + 20x = 100 Add '100' to each side of the equation. -100 + 100 + 20x = 100 + 100 Combine like terms: -100 + 100 = 0 0 + 20x = 100 + 100 20x = 100 + 100 Combine like terms: 100 + 100 = 200 20x = 200 Divide each side by '20'. x = 10 Simplifying x = 10
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