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