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Simplifying 3(x + -5) * cm = (37 + -1x) * cm Reorder the terms: 3(-5 + x) * cm = (37 + -1x) * cm Reorder the terms for easier multiplication: 3cm(-5 + x) = (37 + -1x) * cm (-5 * 3cm + x * 3cm) = (37 + -1x) * cm (-15cm + 3cmx) = (37 + -1x) * cm Reorder the terms for easier multiplication: -15cm + 3cmx = cm(37 + -1x) -15cm + 3cmx = (37 * cm + -1x * cm) -15cm + 3cmx = (37cm + -1cmx) Solving -15cm + 3cmx = 37cm + -1cmx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-37cm' to each side of the equation. -15cm + -37cm + 3cmx = 37cm + -37cm + -1cmx Combine like terms: -15cm + -37cm = -52cm -52cm + 3cmx = 37cm + -37cm + -1cmx Combine like terms: 37cm + -37cm = 0 -52cm + 3cmx = 0 + -1cmx -52cm + 3cmx = -1cmx Add 'cmx' to each side of the equation. -52cm + 3cmx + cmx = -1cmx + cmx Combine like terms: 3cmx + cmx = 4cmx -52cm + 4cmx = -1cmx + cmx Combine like terms: -1cmx + cmx = 0 -52cm + 4cmx = 0 Factor out the Greatest Common Factor (GCF), '4cm'. 4cm(-13 + x) = 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 '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Add '-1x' to each side of the equation. x + -1x = 13 + -1x Combine like terms: x + -1x = 0 0 = 13 + -1x Simplifying 0 = 13 + -1x 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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