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Simplifying 3x + 3xm + 3m + 3 = 24 Reorder the terms: 3 + 3m + 3mx + 3x = 24 Solving 3 + 3m + 3mx + 3x = 24 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3m + 3mx + -3 + 3x = 24 + -3 Reorder the terms: 3 + -3 + 3m + 3mx + 3x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3m + 3mx + 3x = 24 + -3 3m + 3mx + 3x = 24 + -3 Combine like terms: 24 + -3 = 21 3m + 3mx + 3x = 21 Add '-3x' to each side of the equation. 3m + 3mx + 3x + -3x = 21 + -3x Combine like terms: 3x + -3x = 0 3m + 3mx + 0 = 21 + -3x 3m + 3mx = 21 + -3x Reorder the terms: -21 + 3m + 3mx + 3x = 21 + -3x + -21 + 3x Reorder the terms: -21 + 3m + 3mx + 3x = 21 + -21 + -3x + 3x Combine like terms: 21 + -21 = 0 -21 + 3m + 3mx + 3x = 0 + -3x + 3x -21 + 3m + 3mx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 3m + 3mx + 3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + m + mx + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + m + mx + x)' equal to zero and attempt to solve: Simplifying -7 + m + mx + x = 0 Solving -7 + m + mx + x = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + m + mx + 7 + x = 0 + 7 Reorder the terms: -7 + 7 + m + mx + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + m + mx + x = 0 + 7 m + mx + x = 0 + 7 Combine like terms: 0 + 7 = 7 m + mx + x = 7 Add '-1x' to each side of the equation. m + mx + x + -1x = 7 + -1x Combine like terms: x + -1x = 0 m + mx + 0 = 7 + -1x m + mx = 7 + -1x 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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