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Simplifying 8 + -12x = 6times(1 + x) 8 + -12x = (1 * 6eimst + x * 6eimst) 8 + -12x = (6eimst + 6eimstx) Solving 8 + -12x = 6eimst + 6eimstx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6eimstx' to each side of the equation. 8 + -6eimstx + -12x = 6eimst + 6eimstx + -6eimstx Combine like terms: 6eimstx + -6eimstx = 0 8 + -6eimstx + -12x = 6eimst + 0 8 + -6eimstx + -12x = 6eimst Add '-8' to each side of the equation. 8 + -6eimstx + -8 + -12x = -8 + 6eimst Reorder the terms: 8 + -8 + -6eimstx + -12x = -8 + 6eimst Combine like terms: 8 + -8 = 0 0 + -6eimstx + -12x = -8 + 6eimst -6eimstx + -12x = -8 + 6eimst Reorder the terms: 8 + -6eimst + -6eimstx + -12x = -8 + 6eimst + 8 + -6eimst Reorder the terms: 8 + -6eimst + -6eimstx + -12x = -8 + 8 + 6eimst + -6eimst Combine like terms: -8 + 8 = 0 8 + -6eimst + -6eimstx + -12x = 0 + 6eimst + -6eimst 8 + -6eimst + -6eimstx + -12x = 6eimst + -6eimst Combine like terms: 6eimst + -6eimst = 0 8 + -6eimst + -6eimstx + -12x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3eimst + -3eimstx + -6x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3eimst + -3eimstx + -6x)' equal to zero and attempt to solve: Simplifying 4 + -3eimst + -3eimstx + -6x = 0 Solving 4 + -3eimst + -3eimstx + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3eimst + -3eimstx + -4 + -6x = 0 + -4 Reorder the terms: 4 + -4 + -3eimst + -3eimstx + -6x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3eimst + -3eimstx + -6x = 0 + -4 -3eimst + -3eimstx + -6x = 0 + -4 Combine like terms: 0 + -4 = -4 -3eimst + -3eimstx + -6x = -4 Add '3eimst' to each side of the equation. -3eimst + -3eimstx + 3eimst + -6x = -4 + 3eimst Reorder the terms: -3eimst + 3eimst + -3eimstx + -6x = -4 + 3eimst Combine like terms: -3eimst + 3eimst = 0 0 + -3eimstx + -6x = -4 + 3eimst -3eimstx + -6x = -4 + 3eimst 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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