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Simplifying -30 = 4x + -5c(-3x + -13) Reorder the terms: -30 = 4x + -5c(-13 + -3x) -30 = 4x + (-13 * -5c + -3x * -5c) -30 = 4x + (65c + 15cx) Reorder the terms: -30 = 65c + 15cx + 4x Solving -30 = 65c + 15cx + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-65c' to each side of the equation. -30 + -65c = 65c + 15cx + -65c + 4x Reorder the terms: -30 + -65c = 65c + -65c + 15cx + 4x Combine like terms: 65c + -65c = 0 -30 + -65c = 0 + 15cx + 4x -30 + -65c = 15cx + 4x Add '-15cx' to each side of the equation. -30 + -65c + -15cx = 15cx + -15cx + 4x Combine like terms: 15cx + -15cx = 0 -30 + -65c + -15cx = 0 + 4x -30 + -65c + -15cx = 4x Add '30' to each side of the equation. -30 + -65c + 30 + -15cx = 30 + 4x Reorder the terms: -30 + 30 + -65c + -15cx = 30 + 4x Combine like terms: -30 + 30 = 0 0 + -65c + -15cx = 30 + 4x -65c + -15cx = 30 + 4x Reorder the terms: -30 + -65c + -15cx + -4x = 30 + 4x + -30 + -4x Reorder the terms: -30 + -65c + -15cx + -4x = 30 + -30 + 4x + -4x Combine like terms: 30 + -30 = 0 -30 + -65c + -15cx + -4x = 0 + 4x + -4x -30 + -65c + -15cx + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -65c + -15cx + -4x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(30 + 65c + 15cx + 4x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(30 + 65c + 15cx + 4x)' equal to zero and attempt to solve: Simplifying 30 + 65c + 15cx + 4x = 0 Solving 30 + 65c + 15cx + 4x = 0 Move all terms containing c to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 65c + 15cx + -30 + 4x = 0 + -30 Reorder the terms: 30 + -30 + 65c + 15cx + 4x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 65c + 15cx + 4x = 0 + -30 65c + 15cx + 4x = 0 + -30 Combine like terms: 0 + -30 = -30 65c + 15cx + 4x = -30 Add '-4x' to each side of the equation. 65c + 15cx + 4x + -4x = -30 + -4x Combine like terms: 4x + -4x = 0 65c + 15cx + 0 = -30 + -4x 65c + 15cx = -30 + -4x 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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