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Simplifying (3x + 10) * m + (x + 50) * m = 240 Reorder the terms: (10 + 3x) * m + (x + 50) * m = 240 Reorder the terms for easier multiplication: m(10 + 3x) + (x + 50) * m = 240 (10 * m + 3x * m) + (x + 50) * m = 240 (10m + 3mx) + (x + 50) * m = 240 Reorder the terms: 10m + 3mx + (50 + x) * m = 240 Reorder the terms for easier multiplication: 10m + 3mx + m(50 + x) = 240 10m + 3mx + (50 * m + x * m) = 240 10m + 3mx + (50m + mx) = 240 Reorder the terms: 10m + 50m + 3mx + mx = 240 Combine like terms: 10m + 50m = 60m 60m + 3mx + mx = 240 Combine like terms: 3mx + mx = 4mx 60m + 4mx = 240 Solving 60m + 4mx = 240 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Reorder the terms: -240 + 60m + 4mx = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + 60m + 4mx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-60 + 15m + mx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-60 + 15m + mx)' equal to zero and attempt to solve: Simplifying -60 + 15m + mx = 0 Solving -60 + 15m + mx = 0 Move all terms containing m to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 15m + 60 + mx = 0 + 60 Reorder the terms: -60 + 60 + 15m + mx = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 15m + mx = 0 + 60 15m + mx = 0 + 60 Combine like terms: 0 + 60 = 60 15m + mx = 60 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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