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Simplifying 40x + 80 = 30x + 100 Reorder the terms: 80 + 40x = 30x + 100 Reorder the terms: 80 + 40x = 100 + 30x Solving 80 + 40x = 100 + 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. 80 + 40x + -30x = 100 + 30x + -30x Combine like terms: 40x + -30x = 10x 80 + 10x = 100 + 30x + -30x Combine like terms: 30x + -30x = 0 80 + 10x = 100 + 0 80 + 10x = 100 Add '-80' to each side of the equation. 80 + -80 + 10x = 100 + -80 Combine like terms: 80 + -80 = 0 0 + 10x = 100 + -80 10x = 100 + -80 Combine like terms: 100 + -80 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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