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Simplifying 40 + 20x = 100 + -10x Solving 40 + 20x = 100 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 40 + 20x + 10x = 100 + -10x + 10x Combine like terms: 20x + 10x = 30x 40 + 30x = 100 + -10x + 10x Combine like terms: -10x + 10x = 0 40 + 30x = 100 + 0 40 + 30x = 100 Add '-40' to each side of the equation. 40 + -40 + 30x = 100 + -40 Combine like terms: 40 + -40 = 0 0 + 30x = 100 + -40 30x = 100 + -40 Combine like terms: 100 + -40 = 60 30x = 60 Divide each side by '30'. x = 2 Simplifying x = 2
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