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Simplifying 40x + 100 = 30x + 120 Reorder the terms: 100 + 40x = 30x + 120 Reorder the terms: 100 + 40x = 120 + 30x Solving 100 + 40x = 120 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 100 + 40x + -30x = 120 + 30x + -30x Combine like terms: 40x + -30x = 10x 100 + 10x = 120 + 30x + -30x Combine like terms: 30x + -30x = 0 100 + 10x = 120 + 0 100 + 10x = 120 Add '-100' to each side of the equation. 100 + -100 + 10x = 120 + -100 Combine like terms: 100 + -100 = 0 0 + 10x = 120 + -100 10x = 120 + -100 Combine like terms: 120 + -100 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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