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Simplifying 0.3x + 80 = 0.5x + 120 Reorder the terms: 80 + 0.3x = 0.5x + 120 Reorder the terms: 80 + 0.3x = 120 + 0.5x Solving 80 + 0.3x = 120 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 80 + 0.3x + -0.5x = 120 + 0.5x + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x 80 + -0.2x = 120 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 80 + -0.2x = 120 + 0.0 80 + -0.2x = 120 Add '-80' to each side of the equation. 80 + -80 + -0.2x = 120 + -80 Combine like terms: 80 + -80 = 0 0 + -0.2x = 120 + -80 -0.2x = 120 + -80 Combine like terms: 120 + -80 = 40 -0.2x = 40 Divide each side by '-0.2'. x = -200 Simplifying x = -200
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