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Simplifying (6x + -1) * cm = (4x + 6) * cm Reorder the terms: (-1 + 6x) * cm = (4x + 6) * cm Reorder the terms for easier multiplication: cm(-1 + 6x) = (4x + 6) * cm (-1 * cm + 6x * cm) = (4x + 6) * cm (-1cm + 6cmx) = (4x + 6) * cm Reorder the terms: -1cm + 6cmx = (6 + 4x) * cm Reorder the terms for easier multiplication: -1cm + 6cmx = cm(6 + 4x) -1cm + 6cmx = (6 * cm + 4x * cm) -1cm + 6cmx = (6cm + 4cmx) Solving -1cm + 6cmx = 6cm + 4cmx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cm' to each side of the equation. -1cm + -6cm + 6cmx = 6cm + -6cm + 4cmx Combine like terms: -1cm + -6cm = -7cm -7cm + 6cmx = 6cm + -6cm + 4cmx Combine like terms: 6cm + -6cm = 0 -7cm + 6cmx = 0 + 4cmx -7cm + 6cmx = 4cmx Add '-4cmx' to each side of the equation. -7cm + 6cmx + -4cmx = 4cmx + -4cmx Combine like terms: 6cmx + -4cmx = 2cmx -7cm + 2cmx = 4cmx + -4cmx Combine like terms: 4cmx + -4cmx = 0 -7cm + 2cmx = 0 Factor out the Greatest Common Factor (GCF), 'cm'. cm(-7 + 2x) = 0Subproblem 1
Set the factor 'cm' equal to zero and attempt to solve: Simplifying cm = 0 Solving cm = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cm = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + 2x)' equal to zero and attempt to solve: Simplifying -7 + 2x = 0 Solving -7 + 2x = 0 Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Add '-2x' to each side of the equation. 2x + -2x = 7 + -2x Combine like terms: 2x + -2x = 0 0 = 7 + -2x Simplifying 0 = 7 + -2x 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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