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Simplifying 120 + x = 160 + 0.2x Solving 120 + x = 160 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 120 + x + -0.2x = 160 + 0.2x + -0.2x Combine like terms: x + -0.2x = 0.8x 120 + 0.8x = 160 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 120 + 0.8x = 160 + 0.0 120 + 0.8x = 160 Add '-120' to each side of the equation. 120 + -120 + 0.8x = 160 + -120 Combine like terms: 120 + -120 = 0 0 + 0.8x = 160 + -120 0.8x = 160 + -120 Combine like terms: 160 + -120 = 40 0.8x = 40 Divide each side by '0.8'. x = 50 Simplifying x = 50
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