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Simplifying 100x + 80 = 120x + -40x + 300 Reorder the terms: 80 + 100x = 120x + -40x + 300 Reorder the terms: 80 + 100x = 300 + 120x + -40x Combine like terms: 120x + -40x = 80x 80 + 100x = 300 + 80x Solving 80 + 100x = 300 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 80 + 100x + -80x = 300 + 80x + -80x Combine like terms: 100x + -80x = 20x 80 + 20x = 300 + 80x + -80x Combine like terms: 80x + -80x = 0 80 + 20x = 300 + 0 80 + 20x = 300 Add '-80' to each side of the equation. 80 + -80 + 20x = 300 + -80 Combine like terms: 80 + -80 = 0 0 + 20x = 300 + -80 20x = 300 + -80 Combine like terms: 300 + -80 = 220 20x = 220 Divide each side by '20'. x = 11 Simplifying x = 11
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