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Simplifying 4x + 13 = 29 + -26xI + 26x Reorder the terms: 13 + 4x = 29 + -26xI + 26x Reorder the terms: 13 + 4x = 29 + 26x + -26xI Solving 13 + 4x = 29 + 26x + -26xI Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 13 + 4x + -26x = 29 + 26x + -26x + -26xI Combine like terms: 4x + -26x = -22x 13 + -22x = 29 + 26x + -26x + -26xI Combine like terms: 26x + -26x = 0 13 + -22x = 29 + 0 + -26xI 13 + -22x = 29 + -26xI Add '26xI' to each side of the equation. 13 + -22x + 26xI = 29 + -26xI + 26xI Combine like terms: -26xI + 26xI = 0 13 + -22x + 26xI = 29 + 0 13 + -22x + 26xI = 29 Add '-13' to each side of the equation. 13 + -22x + -13 + 26xI = 29 + -13 Reorder the terms: 13 + -13 + -22x + 26xI = 29 + -13 Combine like terms: 13 + -13 = 0 0 + -22x + 26xI = 29 + -13 -22x + 26xI = 29 + -13 Combine like terms: 29 + -13 = 16 -22x + 26xI = 16 Reorder the terms: -16 + -22x + 26xI = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -22x + 26xI = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -11x + 13xI) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -11x + 13xI)' equal to zero and attempt to solve: Simplifying -8 + -11x + 13xI = 0 Solving -8 + -11x + 13xI = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -11x + 8 + 13xI = 0 + 8 Reorder the terms: -8 + 8 + -11x + 13xI = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -11x + 13xI = 0 + 8 -11x + 13xI = 0 + 8 Combine like terms: 0 + 8 = 8 -11x + 13xI = 8 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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