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Simplifying -10c(x + 5) + 62 = 19 + -19 Reorder the terms: -10c(5 + x) + 62 = 19 + -19 (5 * -10c + x * -10c) + 62 = 19 + -19 (-50c + -10cx) + 62 = 19 + -19 Reorder the terms: 62 + -50c + -10cx = 19 + -19 Combine like terms: 19 + -19 = 0 62 + -50c + -10cx = 0 Solving 62 + -50c + -10cx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -50c + -62 + -10cx = 0 + -62 Reorder the terms: 62 + -62 + -50c + -10cx = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -50c + -10cx = 0 + -62 -50c + -10cx = 0 + -62 Combine like terms: 0 + -62 = -62 -50c + -10cx = -62 Reorder the terms: 62 + -50c + -10cx = -62 + 62 Combine like terms: -62 + 62 = 0 62 + -50c + -10cx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(31 + -25c + -5cx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(31 + -25c + -5cx)' equal to zero and attempt to solve: Simplifying 31 + -25c + -5cx = 0 Solving 31 + -25c + -5cx = 0 Move all terms containing c to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -25c + -31 + -5cx = 0 + -31 Reorder the terms: 31 + -31 + -25c + -5cx = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -25c + -5cx = 0 + -31 -25c + -5cx = 0 + -31 Combine like terms: 0 + -31 = -31 -25c + -5cx = -31 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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