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Simplifying 120 + 0.2x = 70 + 0.4x Solving 120 + 0.2x = 70 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 120 + 0.2x + -0.4x = 70 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x 120 + -0.2x = 70 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 120 + -0.2x = 70 + 0.0 120 + -0.2x = 70 Add '-120' to each side of the equation. 120 + -120 + -0.2x = 70 + -120 Combine like terms: 120 + -120 = 0 0 + -0.2x = 70 + -120 -0.2x = 70 + -120 Combine like terms: 70 + -120 = -50 -0.2x = -50 Divide each side by '-0.2'. x = 250 Simplifying x = 250
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