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Simplifying Xcm + 6xcm + 11xcm = 32cm Combine like terms: 6cmx + 11cmx = 17cmx cmX + 17cmx = 32cm Solving cmX + 17cmx = 32cm Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32cm' to each side of the equation. cmX + -32cm + 17cmx = 32cm + -32cm Reorder the terms: -32cm + cmX + 17cmx = 32cm + -32cm Combine like terms: 32cm + -32cm = 0 -32cm + cmX + 17cmx = 0 Factor out the Greatest Common Factor (GCF), 'cm'. cm(-32 + X + 17x) = 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 '(-32 + X + 17x)' equal to zero and attempt to solve: Simplifying -32 + X + 17x = 0 Solving -32 + X + 17x = 0 Move all terms containing c to the left, all other terms to the right. Add '32' to each side of the equation. -32 + X + 32 + 17x = 0 + 32 Reorder the terms: -32 + 32 + X + 17x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + X + 17x = 0 + 32 X + 17x = 0 + 32 Combine like terms: 0 + 32 = 32 X + 17x = 32 Add '-1X' to each side of the equation. X + -1X + 17x = 32 + -1X Combine like terms: X + -1X = 0 0 + 17x = 32 + -1X 17x = 32 + -1X Add '-17x' to each side of the equation. 17x + -17x = 32 + -1X + -17x Combine like terms: 17x + -17x = 0 0 = 32 + -1X + -17x Simplifying 0 = 32 + -1X + -17x 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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