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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 = -38 62 + -50c + -10cx = -38 Solving 62 + -50c + -10cx = -38 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 = -38 + -62 Reorder the terms: 62 + -62 + -50c + -10cx = -38 + -62 Combine like terms: 62 + -62 = 0 0 + -50c + -10cx = -38 + -62 -50c + -10cx = -38 + -62 Combine like terms: -38 + -62 = -100 -50c + -10cx = -100 Reorder the terms: 100 + -50c + -10cx = -100 + 100 Combine like terms: -100 + 100 = 0 100 + -50c + -10cx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(10 + -5c + -1cx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(10 + -5c + -1cx)' equal to zero and attempt to solve: Simplifying 10 + -5c + -1cx = 0 Solving 10 + -5c + -1cx = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -5c + -10 + -1cx = 0 + -10 Reorder the terms: 10 + -10 + -5c + -1cx = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5c + -1cx = 0 + -10 -5c + -1cx = 0 + -10 Combine like terms: 0 + -10 = -10 -5c + -1cx = -10 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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