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Simplifying 5x + 8 = -22 + -10xc Reorder the terms: 8 + 5x = -22 + -10xc Solving 8 + 5x = -22 + -10cx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10cx' to each side of the equation. 8 + 10cx + 5x = -22 + -10cx + 10cx Combine like terms: -10cx + 10cx = 0 8 + 10cx + 5x = -22 + 0 8 + 10cx + 5x = -22 Add '-8' to each side of the equation. 8 + 10cx + -8 + 5x = -22 + -8 Reorder the terms: 8 + -8 + 10cx + 5x = -22 + -8 Combine like terms: 8 + -8 = 0 0 + 10cx + 5x = -22 + -8 10cx + 5x = -22 + -8 Combine like terms: -22 + -8 = -30 10cx + 5x = -30 Reorder the terms: 30 + 10cx + 5x = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 10cx + 5x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(6 + 2cx + x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + 2cx + x)' equal to zero and attempt to solve: Simplifying 6 + 2cx + x = 0 Solving 6 + 2cx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2cx + -6 + x = 0 + -6 Reorder the terms: 6 + -6 + 2cx + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2cx + x = 0 + -6 2cx + x = 0 + -6 Combine like terms: 0 + -6 = -6 2cx + x = -6 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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