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Simplifying 120 + 2x = 160 + -5x Solving 120 + 2x = 160 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 120 + 2x + 5x = 160 + -5x + 5x Combine like terms: 2x + 5x = 7x 120 + 7x = 160 + -5x + 5x Combine like terms: -5x + 5x = 0 120 + 7x = 160 + 0 120 + 7x = 160 Add '-120' to each side of the equation. 120 + -120 + 7x = 160 + -120 Combine like terms: 120 + -120 = 0 0 + 7x = 160 + -120 7x = 160 + -120 Combine like terms: 160 + -120 = 40 7x = 40 Divide each side by '7'. x = 5.714285714 Simplifying x = 5.714285714
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