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Simplifying 5v + 3x + 5 = 7v + -3x + -4 Reorder the terms: 5 + 5v + 3x = 7v + -3x + -4 Reorder the terms: 5 + 5v + 3x = -4 + 7v + -3x Solving 5 + 5v + 3x = -4 + 7v + -3x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 5 + 5v + -7v + 3x = -4 + 7v + -7v + -3x Combine like terms: 5v + -7v = -2v 5 + -2v + 3x = -4 + 7v + -7v + -3x Combine like terms: 7v + -7v = 0 5 + -2v + 3x = -4 + 0 + -3x 5 + -2v + 3x = -4 + -3x Add '-5' to each side of the equation. 5 + -2v + -5 + 3x = -4 + -5 + -3x Reorder the terms: 5 + -5 + -2v + 3x = -4 + -5 + -3x Combine like terms: 5 + -5 = 0 0 + -2v + 3x = -4 + -5 + -3x -2v + 3x = -4 + -5 + -3x Combine like terms: -4 + -5 = -9 -2v + 3x = -9 + -3x Add '-3x' to each side of the equation. -2v + 3x + -3x = -9 + -3x + -3x Combine like terms: 3x + -3x = 0 -2v + 0 = -9 + -3x + -3x -2v = -9 + -3x + -3x Combine like terms: -3x + -3x = -6x -2v = -9 + -6x Divide each side by '-2'. v = 4.5 + 3x Simplifying v = 4.5 + 3x
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