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Simplifying 0.8x + 80 = 0.6x + 150 Reorder the terms: 80 + 0.8x = 0.6x + 150 Reorder the terms: 80 + 0.8x = 150 + 0.6x Solving 80 + 0.8x = 150 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 80 + 0.8x + -0.6x = 150 + 0.6x + -0.6x Combine like terms: 0.8x + -0.6x = 0.2x 80 + 0.2x = 150 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 80 + 0.2x = 150 + 0.0 80 + 0.2x = 150 Add '-80' to each side of the equation. 80 + -80 + 0.2x = 150 + -80 Combine like terms: 80 + -80 = 0 0 + 0.2x = 150 + -80 0.2x = 150 + -80 Combine like terms: 150 + -80 = 70 0.2x = 70 Divide each side by '0.2'. x = 350 Simplifying x = 350
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