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Simplifying 2(6cm + xcm) = (6cm)(x) (6cm * 2 + cmx * 2) = (6cm)(x) (12cm + 2cmx) = (6cm)(x) Remove parenthesis around (6cm) 12cm + 2cmx = 6cm(x) Multiply cm * x 12cm + 2cmx = 6cmx Solving 12cm + 2cmx = 6cmx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cmx' to each side of the equation. 12cm + 2cmx + -6cmx = 6cmx + -6cmx Combine like terms: 2cmx + -6cmx = -4cmx 12cm + -4cmx = 6cmx + -6cmx Combine like terms: 6cmx + -6cmx = 0 12cm + -4cmx = 0 Factor out the Greatest Common Factor (GCF), '4cm'. 4cm(3 + -1x) = 0 Ignore the factor 4.Subproblem 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + 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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