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Simplifying 6x + -4c(-3x + 2) = 10 Reorder the terms: 6x + -4c(2 + -3x) = 10 6x + (2 * -4c + -3x * -4c) = 10 6x + (-8c + 12cx) = 10 Reorder the terms: -8c + 12cx + 6x = 10 Solving -8c + 12cx + 6x = 10 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6x' to each side of the equation. -8c + 12cx + 6x + -6x = 10 + -6x Combine like terms: 6x + -6x = 0 -8c + 12cx + 0 = 10 + -6x -8c + 12cx = 10 + -6x Reorder the terms: -10 + -8c + 12cx + 6x = 10 + -6x + -10 + 6x Reorder the terms: -10 + -8c + 12cx + 6x = 10 + -10 + -6x + 6x Combine like terms: 10 + -10 = 0 -10 + -8c + 12cx + 6x = 0 + -6x + 6x -10 + -8c + 12cx + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -10 + -8c + 12cx + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -4c + 6cx + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -4c + 6cx + 3x)' equal to zero and attempt to solve: Simplifying -5 + -4c + 6cx + 3x = 0 Solving -5 + -4c + 6cx + 3x = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4c + 6cx + 5 + 3x = 0 + 5 Reorder the terms: -5 + 5 + -4c + 6cx + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4c + 6cx + 3x = 0 + 5 -4c + 6cx + 3x = 0 + 5 Combine like terms: 0 + 5 = 5 -4c + 6cx + 3x = 5 Add '-3x' to each side of the equation. -4c + 6cx + 3x + -3x = 5 + -3x Combine like terms: 3x + -3x = 0 -4c + 6cx + 0 = 5 + -3x -4c + 6cx = 5 + -3x 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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