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Simplifying 6mal(3x + -7) + -12 + -4x = 9x + -1(7x + 6) Reorder the terms: 6alm(-7 + 3x) + -12 + -4x = 9x + -1(7x + 6) (-7 * 6alm + 3x * 6alm) + -12 + -4x = 9x + -1(7x + 6) (-42alm + 18almx) + -12 + -4x = 9x + -1(7x + 6) Reorder the terms: -12 + -42alm + 18almx + -4x = 9x + -1(7x + 6) Reorder the terms: -12 + -42alm + 18almx + -4x = 9x + -1(6 + 7x) -12 + -42alm + 18almx + -4x = 9x + (6 * -1 + 7x * -1) -12 + -42alm + 18almx + -4x = 9x + (-6 + -7x) Reorder the terms: -12 + -42alm + 18almx + -4x = -6 + 9x + -7x Combine like terms: 9x + -7x = 2x -12 + -42alm + 18almx + -4x = -6 + 2x Solving -12 + -42alm + 18almx + -4x = -6 + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -42alm + 18almx + 12 + -4x = -6 + 12 + 2x Reorder the terms: -12 + 12 + -42alm + 18almx + -4x = -6 + 12 + 2x Combine like terms: -12 + 12 = 0 0 + -42alm + 18almx + -4x = -6 + 12 + 2x -42alm + 18almx + -4x = -6 + 12 + 2x Combine like terms: -6 + 12 = 6 -42alm + 18almx + -4x = 6 + 2x Add '4x' to each side of the equation. -42alm + 18almx + -4x + 4x = 6 + 2x + 4x Combine like terms: -4x + 4x = 0 -42alm + 18almx + 0 = 6 + 2x + 4x -42alm + 18almx = 6 + 2x + 4x Combine like terms: 2x + 4x = 6x -42alm + 18almx = 6 + 6x Reorder the terms: -6 + -42alm + 18almx + -6x = 6 + 6x + -6 + -6x Reorder the terms: -6 + -42alm + 18almx + -6x = 6 + -6 + 6x + -6x Combine like terms: 6 + -6 = 0 -6 + -42alm + 18almx + -6x = 0 + 6x + -6x -6 + -42alm + 18almx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -42alm + 18almx + -6x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -7alm + 3almx + -1x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -7alm + 3almx + -1x)' equal to zero and attempt to solve: Simplifying -1 + -7alm + 3almx + -1x = 0 Solving -1 + -7alm + 3almx + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -7alm + 3almx + 1 + -1x = 0 + 1 Reorder the terms: -1 + 1 + -7alm + 3almx + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7alm + 3almx + -1x = 0 + 1 -7alm + 3almx + -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -7alm + 3almx + -1x = 1 Add 'x' to each side of the equation. -7alm + 3almx + -1x + x = 1 + x Combine like terms: -1x + x = 0 -7alm + 3almx + 0 = 1 + x -7alm + 3almx = 1 + x 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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