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Simplifying 2x + -6 + 2x + -6 + (x + 3) * m + (x + 3) * m = 0 Reorder the terms: 2x + -6 + 2x + -6 + (3 + x) * m + (x + 3) * m = 0 Reorder the terms for easier multiplication: 2x + -6 + 2x + -6 + m(3 + x) + (x + 3) * m = 0 2x + -6 + 2x + -6 + (3 * m + x * m) + (x + 3) * m = 0 2x + -6 + 2x + -6 + (3m + mx) + (x + 3) * m = 0 Reorder the terms: 2x + -6 + 2x + -6 + 3m + mx + (3 + x) * m = 0 Reorder the terms for easier multiplication: 2x + -6 + 2x + -6 + 3m + mx + m(3 + x) = 0 2x + -6 + 2x + -6 + 3m + mx + (3 * m + x * m) = 0 2x + -6 + 2x + -6 + 3m + mx + (3m + mx) = 0 Reorder the terms: -6 + -6 + 3m + 3m + mx + mx + 2x + 2x = 0 Combine like terms: -6 + -6 = -12 -12 + 3m + 3m + mx + mx + 2x + 2x = 0 Combine like terms: 3m + 3m = 6m -12 + 6m + mx + mx + 2x + 2x = 0 Combine like terms: mx + mx = 2mx -12 + 6m + 2mx + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x -12 + 6m + 2mx + 4x = 0 Solving -12 + 6m + 2mx + 4x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6m + 2mx + 12 + 4x = 0 + 12 Reorder the terms: -12 + 12 + 6m + 2mx + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6m + 2mx + 4x = 0 + 12 6m + 2mx + 4x = 0 + 12 Combine like terms: 0 + 12 = 12 6m + 2mx + 4x = 12 Add '-4x' to each side of the equation. 6m + 2mx + 4x + -4x = 12 + -4x Combine like terms: 4x + -4x = 0 6m + 2mx + 0 = 12 + -4x 6m + 2mx = 12 + -4x Reorder the terms: -12 + 6m + 2mx + 4x = 12 + -4x + -12 + 4x Reorder the terms: -12 + 6m + 2mx + 4x = 12 + -12 + -4x + 4x Combine like terms: 12 + -12 = 0 -12 + 6m + 2mx + 4x = 0 + -4x + 4x -12 + 6m + 2mx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 6m + 2mx + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 3m + mx + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 3m + mx + 2x)' equal to zero and attempt to solve: Simplifying -6 + 3m + mx + 2x = 0 Solving -6 + 3m + mx + 2x = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3m + mx + 6 + 2x = 0 + 6 Reorder the terms: -6 + 6 + 3m + mx + 2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3m + mx + 2x = 0 + 6 3m + mx + 2x = 0 + 6 Combine like terms: 0 + 6 = 6 3m + mx + 2x = 6 Add '-2x' to each side of the equation. 3m + mx + 2x + -2x = 6 + -2x Combine like terms: 2x + -2x = 0 3m + mx + 0 = 6 + -2x 3m + mx = 6 + -2x 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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