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