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