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Simplifying 6x + 4 = 2(3xn + -5) Reorder the terms: 4 + 6x = 2(3xn + -5) Reorder the terms: 4 + 6x = 2(-5 + 3nx) 4 + 6x = (-5 * 2 + 3nx * 2) 4 + 6x = (-10 + 6nx) Solving 4 + 6x = -10 + 6nx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6nx' to each side of the equation. 4 + -6nx + 6x = -10 + 6nx + -6nx Combine like terms: 6nx + -6nx = 0 4 + -6nx + 6x = -10 + 0 4 + -6nx + 6x = -10 Add '-4' to each side of the equation. 4 + -6nx + -4 + 6x = -10 + -4 Reorder the terms: 4 + -4 + -6nx + 6x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -6nx + 6x = -10 + -4 -6nx + 6x = -10 + -4 Combine like terms: -10 + -4 = -14 -6nx + 6x = -14 Reorder the terms: 14 + -6nx + 6x = -14 + 14 Combine like terms: -14 + 14 = 0 14 + -6nx + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -3nx + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -3nx + 3x)' equal to zero and attempt to solve: Simplifying 7 + -3nx + 3x = 0 Solving 7 + -3nx + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3nx + -7 + 3x = 0 + -7 Reorder the terms: 7 + -7 + -3nx + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3nx + 3x = 0 + -7 -3nx + 3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3nx + 3x = -7 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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