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Simplifying 120 + 0.30x = 80 + 0.50x Solving 120 + 0.30x = 80 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 120 + 0.30x + -0.50x = 80 + 0.50x + -0.50x Combine like terms: 0.30x + -0.50x = -0.2x 120 + -0.2x = 80 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 120 + -0.2x = 80 + 0.00 120 + -0.2x = 80 Add '-120' to each side of the equation. 120 + -120 + -0.2x = 80 + -120 Combine like terms: 120 + -120 = 0 0 + -0.2x = 80 + -120 -0.2x = 80 + -120 Combine like terms: 80 + -120 = -40 -0.2x = -40 Divide each side by '-0.2'. x = 200 Simplifying x = 200
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