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Simplifying 35v + (-56 + (-23)) + (-7x) = 37 + 7x + -5v 35v + (-56 + -23) + (-7x) = 37 + 7x + -5v Combine like terms: -56 + -23 = -79 35v + (-79) + (-7x) = 37 + 7x + -5v 35v + -79 + (-7x) = 37 + 7x + -5v Reorder the terms: -79 + 35v + (-7x) = 37 + 7x + -5v Reorder the terms: -79 + 35v + (-7x) = 37 + -5v + 7x Solving -79 + 35v + (-7x) = 37 + -5v + 7x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -79 + 35v + 5v + (-7x) = 37 + -5v + 5v + 7x Combine like terms: 35v + 5v = 40v -79 + 40v + (-7x) = 37 + -5v + 5v + 7x Combine like terms: -5v + 5v = 0 -79 + 40v + (-7x) = 37 + 0 + 7x -79 + 40v + (-7x) = 37 + 7x Add '79' to each side of the equation. -79 + 40v + 79 + (-7x) = 37 + 79 + 7x Reorder the terms: -79 + 79 + 40v + (-7x) = 37 + 79 + 7x Combine like terms: -79 + 79 = 0 0 + 40v + (-7x) = 37 + 79 + 7x 40v + (-7x) = 37 + 79 + 7x Combine like terms: 37 + 79 = 116 40v + (-7x) = 116 + 7x Add '(7x)' to each side of the equation. 40v + (-7x) + (7x) = 116 + 7x + (7x) Combine like terms: (-7x) + (7x) = 0 40v + 0 = 116 + 7x + (7x) 40v = 116 + 7x + (7x) Combine like terms: 7x + (7x) = 14x 40v = 116 + 14x Divide each side by '40'. v = 2.9 + 0.35x Simplifying v = 2.9 + 0.35x
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