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