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Simplifying 120 + 0.40x = 50 + 0.60x Solving 120 + 0.40x = 50 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 120 + 0.40x + -0.60x = 50 + 0.60x + -0.60x Combine like terms: 0.40x + -0.60x = -0.2x 120 + -0.2x = 50 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 120 + -0.2x = 50 + 0.00 120 + -0.2x = 50 Add '-120' to each side of the equation. 120 + -120 + -0.2x = 50 + -120 Combine like terms: 120 + -120 = 0 0 + -0.2x = 50 + -120 -0.2x = 50 + -120 Combine like terms: 50 + -120 = -70 -0.2x = -70 Divide each side by '-0.2'. x = 350 Simplifying x = 350
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