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Simplifying 120 + 0.6x = 50 + 0.8x Solving 120 + 0.6x = 50 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 120 + 0.6x + -0.8x = 50 + 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x 120 + -0.2x = 50 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 120 + -0.2x = 50 + 0.0 120 + -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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