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Simplifying -7x(v + 2) + 3v + 6 = 5v + 12 Reorder the terms: -7x(2 + v) + 3v + 6 = 5v + 12 (2 * -7x + v * -7x) + 3v + 6 = 5v + 12 Reorder the terms: (-7vx + -14x) + 3v + 6 = 5v + 12 (-7vx + -14x) + 3v + 6 = 5v + 12 Reorder the terms: 6 + 3v + -7vx + -14x = 5v + 12 Reorder the terms: 6 + 3v + -7vx + -14x = 12 + 5v Solving 6 + 3v + -7vx + -14x = 12 + 5v 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. 6 + 3v + -7vx + -5v + -14x = 12 + 5v + -5v Reorder the terms: 6 + 3v + -5v + -7vx + -14x = 12 + 5v + -5v Combine like terms: 3v + -5v = -2v 6 + -2v + -7vx + -14x = 12 + 5v + -5v Combine like terms: 5v + -5v = 0 6 + -2v + -7vx + -14x = 12 + 0 6 + -2v + -7vx + -14x = 12 Add '-6' to each side of the equation. 6 + -2v + -7vx + -6 + -14x = 12 + -6 Reorder the terms: 6 + -6 + -2v + -7vx + -14x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -2v + -7vx + -14x = 12 + -6 -2v + -7vx + -14x = 12 + -6 Combine like terms: 12 + -6 = 6 -2v + -7vx + -14x = 6 Add '14x' to each side of the equation. -2v + -7vx + -14x + 14x = 6 + 14x Combine like terms: -14x + 14x = 0 -2v + -7vx + 0 = 6 + 14x -2v + -7vx = 6 + 14x Reorder the terms: -6 + -2v + -7vx + -14x = 6 + 14x + -6 + -14x Reorder the terms: -6 + -2v + -7vx + -14x = 6 + -6 + 14x + -14x Combine like terms: 6 + -6 = 0 -6 + -2v + -7vx + -14x = 0 + 14x + -14x -6 + -2v + -7vx + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -2v + -7vx + -14x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 2v + 7vx + 14x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 2v + 7vx + 14x)' equal to zero and attempt to solve: Simplifying 6 + 2v + 7vx + 14x = 0 Solving 6 + 2v + 7vx + 14x = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2v + 7vx + -6 + 14x = 0 + -6 Reorder the terms: 6 + -6 + 2v + 7vx + 14x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2v + 7vx + 14x = 0 + -6 2v + 7vx + 14x = 0 + -6 Combine like terms: 0 + -6 = -6 2v + 7vx + 14x = -6 Add '-14x' to each side of the equation. 2v + 7vx + 14x + -14x = -6 + -14x Combine like terms: 14x + -14x = 0 2v + 7vx + 0 = -6 + -14x 2v + 7vx = -6 + -14x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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