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Simplifying 7x + -120 = 3x + (2x + -35) Reorder the terms: -120 + 7x = 3x + (2x + -35) Reorder the terms: -120 + 7x = 3x + (-35 + 2x) Remove parenthesis around (-35 + 2x) -120 + 7x = 3x + -35 + 2x Reorder the terms: -120 + 7x = -35 + 3x + 2x Combine like terms: 3x + 2x = 5x -120 + 7x = -35 + 5x Solving -120 + 7x = -35 + 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 + 7x + -5x = -35 + 5x + -5x Combine like terms: 7x + -5x = 2x -120 + 2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -120 + 2x = -35 + 0 -120 + 2x = -35 Add '120' to each side of the equation. -120 + 120 + 2x = -35 + 120 Combine like terms: -120 + 120 = 0 0 + 2x = -35 + 120 2x = -35 + 120 Combine like terms: -35 + 120 = 85 2x = 85 Divide each side by '2'. x = 42.5 Simplifying x = 42.5
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