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Simplifying 12x + -24 + -4x = 12(x + -3) * E Reorder the terms: -24 + 12x + -4x = 12(x + -3) * E Combine like terms: 12x + -4x = 8x -24 + 8x = 12(x + -3) * E Reorder the terms: -24 + 8x = 12(-3 + x) * E Reorder the terms for easier multiplication: -24 + 8x = 12E(-3 + x) -24 + 8x = (-3 * 12E + x * 12E) -24 + 8x = (-36E + 12xE) Solving -24 + 8x = -36E + 12xE Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12xE' to each side of the equation. -24 + 8x + -12xE = -36E + 12xE + -12xE Combine like terms: 12xE + -12xE = 0 -24 + 8x + -12xE = -36E + 0 -24 + 8x + -12xE = -36E Add '24' to each side of the equation. -24 + 8x + 24 + -12xE = 24 + -36E Reorder the terms: -24 + 24 + 8x + -12xE = 24 + -36E Combine like terms: -24 + 24 = 0 0 + 8x + -12xE = 24 + -36E 8x + -12xE = 24 + -36E Reorder the terms: -24 + 36E + 8x + -12xE = 24 + -36E + -24 + 36E Reorder the terms: -24 + 36E + 8x + -12xE = 24 + -24 + -36E + 36E Combine like terms: 24 + -24 = 0 -24 + 36E + 8x + -12xE = 0 + -36E + 36E -24 + 36E + 8x + -12xE = -36E + 36E Combine like terms: -36E + 36E = 0 -24 + 36E + 8x + -12xE = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 9E + 2x + -3xE) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + 9E + 2x + -3xE)' equal to zero and attempt to solve: Simplifying -6 + 9E + 2x + -3xE = 0 Solving -6 + 9E + 2x + -3xE = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 9E + 2x + 6 + -3xE = 0 + 6 Reorder the terms: -6 + 6 + 9E + 2x + -3xE = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9E + 2x + -3xE = 0 + 6 9E + 2x + -3xE = 0 + 6 Combine like terms: 0 + 6 = 6 9E + 2x + -3xE = 6 Add '-9E' to each side of the equation. 9E + 2x + -9E + -3xE = 6 + -9E Reorder the terms: 9E + -9E + 2x + -3xE = 6 + -9E Combine like terms: 9E + -9E = 0 0 + 2x + -3xE = 6 + -9E 2x + -3xE = 6 + -9E 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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