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Simplifying -14 + 3m(x + 10) = 7(2x + 4) + x Reorder the terms: -14 + 3m(10 + x) = 7(2x + 4) + x -14 + (10 * 3m + x * 3m) = 7(2x + 4) + x -14 + (30m + 3mx) = 7(2x + 4) + x Reorder the terms: -14 + 30m + 3mx = 7(4 + 2x) + x -14 + 30m + 3mx = (4 * 7 + 2x * 7) + x -14 + 30m + 3mx = (28 + 14x) + x Combine like terms: 14x + x = 15x -14 + 30m + 3mx = 28 + 15x Solving -14 + 30m + 3mx = 28 + 15x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 30m + 14 + 3mx = 28 + 14 + 15x Reorder the terms: -14 + 14 + 30m + 3mx = 28 + 14 + 15x Combine like terms: -14 + 14 = 0 0 + 30m + 3mx = 28 + 14 + 15x 30m + 3mx = 28 + 14 + 15x Combine like terms: 28 + 14 = 42 30m + 3mx = 42 + 15x Reorder the terms: -42 + 30m + 3mx + -15x = 42 + 15x + -42 + -15x Reorder the terms: -42 + 30m + 3mx + -15x = 42 + -42 + 15x + -15x Combine like terms: 42 + -42 = 0 -42 + 30m + 3mx + -15x = 0 + 15x + -15x -42 + 30m + 3mx + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 -42 + 30m + 3mx + -15x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-14 + 10m + mx + -5x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-14 + 10m + mx + -5x)' equal to zero and attempt to solve: Simplifying -14 + 10m + mx + -5x = 0 Solving -14 + 10m + mx + -5x = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 10m + mx + 14 + -5x = 0 + 14 Reorder the terms: -14 + 14 + 10m + mx + -5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 10m + mx + -5x = 0 + 14 10m + mx + -5x = 0 + 14 Combine like terms: 0 + 14 = 14 10m + mx + -5x = 14 Add '5x' to each side of the equation. 10m + mx + -5x + 5x = 14 + 5x Combine like terms: -5x + 5x = 0 10m + mx + 0 = 14 + 5x 10m + mx = 14 + 5x 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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