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Simplifying x = -8wx + -7x Solving x = -8wx + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8wx' to each side of the equation. 8wx + x = -8wx + 8wx + -7x Combine like terms: -8wx + 8wx = 0 8wx + x = 0 + -7x 8wx + x = -7x Add '7x' to each side of the equation. 8wx + x + 7x = -7x + 7x Combine like terms: x + 7x = 8x 8wx + 8x = -7x + 7x Combine like terms: -7x + 7x = 0 8wx + 8x = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(w + 1) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(w + 1)' equal to zero and attempt to solve: Simplifying w + 1 = 0 Reorder the terms: 1 + w = 0 Solving 1 + w = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Add '-1w' to each side of the equation. w + -1w = -1 + -1w Combine like terms: w + -1w = 0 0 = -1 + -1w Simplifying 0 = -1 + -1w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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