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Simplifying 24 = (3x + 1) * m + (x + 1) * m Reorder the terms: 24 = (1 + 3x) * m + (x + 1) * m Reorder the terms for easier multiplication: 24 = m(1 + 3x) + (x + 1) * m 24 = (1 * m + 3x * m) + (x + 1) * m 24 = (1m + 3mx) + (x + 1) * m Reorder the terms: 24 = 1m + 3mx + (1 + x) * m Reorder the terms for easier multiplication: 24 = 1m + 3mx + m(1 + x) 24 = 1m + 3mx + (1 * m + x * m) 24 = 1m + 3mx + (1m + mx) Reorder the terms: 24 = 1m + 1m + 3mx + mx Combine like terms: 1m + 1m = 2m 24 = 2m + 3mx + mx Combine like terms: 3mx + mx = 4mx 24 = 2m + 4mx Solving 24 = 2m + 4mx Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 24 + -2m = 2m + -2m + 4mx Combine like terms: 2m + -2m = 0 24 + -2m = 0 + 4mx 24 + -2m = 4mx Add '-4mx' to each side of the equation. 24 + -2m + -4mx = 4mx + -4mx Combine like terms: 4mx + -4mx = 0 24 + -2m + -4mx = 0 Add '-24' to each side of the equation. 24 + -2m + -24 + -4mx = 0 + -24 Reorder the terms: 24 + -24 + -2m + -4mx = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -2m + -4mx = 0 + -24 -2m + -4mx = 0 + -24 Combine like terms: 0 + -24 = -24 -2m + -4mx = -24 Reorder the terms: 24 + -2m + -4mx = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -2m + -4mx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -1m + -2mx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -1m + -2mx)' equal to zero and attempt to solve: Simplifying 12 + -1m + -2mx = 0 Solving 12 + -1m + -2mx = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1m + -12 + -2mx = 0 + -12 Reorder the terms: 12 + -12 + -1m + -2mx = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1m + -2mx = 0 + -12 -1m + -2mx = 0 + -12 Combine like terms: 0 + -12 = -12 -1m + -2mx = -12 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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