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Simplifying 36 = (3x + 1) * m + (x + 1) * m + (3x + 1) * m + (x + 1) * m Reorder the terms: 36 = (1 + 3x) * m + (x + 1) * m + (3x + 1) * m + (x + 1) * m Reorder the terms for easier multiplication: 36 = m(1 + 3x) + (x + 1) * m + (3x + 1) * m + (x + 1) * m 36 = (1 * m + 3x * m) + (x + 1) * m + (3x + 1) * m + (x + 1) * m 36 = (1m + 3mx) + (x + 1) * m + (3x + 1) * m + (x + 1) * m Reorder the terms: 36 = 1m + 3mx + (1 + x) * m + (3x + 1) * m + (x + 1) * m Reorder the terms for easier multiplication: 36 = 1m + 3mx + m(1 + x) + (3x + 1) * m + (x + 1) * m 36 = 1m + 3mx + (1 * m + x * m) + (3x + 1) * m + (x + 1) * m 36 = 1m + 3mx + (1m + mx) + (3x + 1) * m + (x + 1) * m Reorder the terms: 36 = 1m + 3mx + 1m + mx + (1 + 3x) * m + (x + 1) * m Reorder the terms for easier multiplication: 36 = 1m + 3mx + 1m + mx + m(1 + 3x) + (x + 1) * m 36 = 1m + 3mx + 1m + mx + (1 * m + 3x * m) + (x + 1) * m 36 = 1m + 3mx + 1m + mx + (1m + 3mx) + (x + 1) * m Reorder the terms: 36 = 1m + 3mx + 1m + mx + 1m + 3mx + (1 + x) * m Reorder the terms for easier multiplication: 36 = 1m + 3mx + 1m + mx + 1m + 3mx + m(1 + x) 36 = 1m + 3mx + 1m + mx + 1m + 3mx + (1 * m + x * m) 36 = 1m + 3mx + 1m + mx + 1m + 3mx + (1m + mx) Reorder the terms: 36 = 1m + 1m + 1m + 1m + 3mx + mx + 3mx + mx Combine like terms: 1m + 1m = 2m 36 = 2m + 1m + 1m + 3mx + mx + 3mx + mx Combine like terms: 2m + 1m = 3m 36 = 3m + 1m + 3mx + mx + 3mx + mx Combine like terms: 3m + 1m = 4m 36 = 4m + 3mx + mx + 3mx + mx Combine like terms: 3mx + mx = 4mx 36 = 4m + 4mx + 3mx + mx Combine like terms: 4mx + 3mx = 7mx 36 = 4m + 7mx + mx Combine like terms: 7mx + mx = 8mx 36 = 4m + 8mx Solving 36 = 4m + 8mx Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 36 + -4m = 4m + -4m + 8mx Combine like terms: 4m + -4m = 0 36 + -4m = 0 + 8mx 36 + -4m = 8mx Add '-8mx' to each side of the equation. 36 + -4m + -8mx = 8mx + -8mx Combine like terms: 8mx + -8mx = 0 36 + -4m + -8mx = 0 Add '-36' to each side of the equation. 36 + -4m + -36 + -8mx = 0 + -36 Reorder the terms: 36 + -36 + -4m + -8mx = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4m + -8mx = 0 + -36 -4m + -8mx = 0 + -36 Combine like terms: 0 + -36 = -36 -4m + -8mx = -36 Reorder the terms: 36 + -4m + -8mx = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -4m + -8mx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -1m + -2mx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + -1m + -2mx)' equal to zero and attempt to solve: Simplifying 9 + -1m + -2mx = 0 Solving 9 + -1m + -2mx = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1m + -9 + -2mx = 0 + -9 Reorder the terms: 9 + -9 + -1m + -2mx = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m + -2mx = 0 + -9 -1m + -2mx = 0 + -9 Combine like terms: 0 + -9 = -9 -1m + -2mx = -9 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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