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Simplifying (3x + -40) + (7x + -120) = 180 Reorder the terms: (-40 + 3x) + (7x + -120) = 180 Remove parenthesis around (-40 + 3x) -40 + 3x + (7x + -120) = 180 Reorder the terms: -40 + 3x + (-120 + 7x) = 180 Remove parenthesis around (-120 + 7x) -40 + 3x + -120 + 7x = 180 Reorder the terms: -40 + -120 + 3x + 7x = 180 Combine like terms: -40 + -120 = -160 -160 + 3x + 7x = 180 Combine like terms: 3x + 7x = 10x -160 + 10x = 180 Solving -160 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '160' to each side of the equation. -160 + 160 + 10x = 180 + 160 Combine like terms: -160 + 160 = 0 0 + 10x = 180 + 160 10x = 180 + 160 Combine like terms: 180 + 160 = 340 10x = 340 Divide each side by '10'. x = 34 Simplifying x = 34
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