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Simplifying -7x + -2wx + -7 = w Reorder the terms: -7 + -2wx + -7x = w Solving -7 + -2wx + -7x = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -7 + -2wx + -1w + -7x = w + -1w Reorder the terms: -7 + -1w + -2wx + -7x = w + -1w Combine like terms: w + -1w = 0 -7 + -1w + -2wx + -7x = 0 Add '7' to each side of the equation. -7 + -1w + -2wx + 7 + -7x = 0 + 7 Reorder the terms: -7 + 7 + -1w + -2wx + -7x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1w + -2wx + -7x = 0 + 7 -1w + -2wx + -7x = 0 + 7 Combine like terms: 0 + 7 = 7 -1w + -2wx + -7x = 7 Add '7x' to each side of the equation. -1w + -2wx + -7x + 7x = 7 + 7x Combine like terms: -7x + 7x = 0 -1w + -2wx + 0 = 7 + 7x -1w + -2wx = 7 + 7x Reorder the terms: -7 + -1w + -2wx + -7x = 7 + 7x + -7 + -7x Reorder the terms: -7 + -1w + -2wx + -7x = 7 + -7 + 7x + -7x Combine like terms: 7 + -7 = 0 -7 + -1w + -2wx + -7x = 0 + 7x + -7x -7 + -1w + -2wx + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -1w + -2wx + -7x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + w + 2wx + 7x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + w + 2wx + 7x)' equal to zero and attempt to solve: Simplifying 7 + w + 2wx + 7x = 0 Solving 7 + w + 2wx + 7x = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + w + 2wx + -7 + 7x = 0 + -7 Reorder the terms: 7 + -7 + w + 2wx + 7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w + 2wx + 7x = 0 + -7 w + 2wx + 7x = 0 + -7 Combine like terms: 0 + -7 = -7 w + 2wx + 7x = -7 Add '-7x' to each side of the equation. w + 2wx + 7x + -7x = -7 + -7x Combine like terms: 7x + -7x = 0 w + 2wx + 0 = -7 + -7x w + 2wx = -7 + -7x 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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