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Simplifying cx + -4x + 5 = 12 + -8x Reorder the terms: 5 + cx + -4x = 12 + -8x Solving 5 + cx + -4x = 12 + -8x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + cx + -5 + -4x = 12 + -5 + -8x Reorder the terms: 5 + -5 + cx + -4x = 12 + -5 + -8x Combine like terms: 5 + -5 = 0 0 + cx + -4x = 12 + -5 + -8x cx + -4x = 12 + -5 + -8x Combine like terms: 12 + -5 = 7 cx + -4x = 7 + -8x Add '4x' to each side of the equation. cx + -4x + 4x = 7 + -8x + 4x Combine like terms: -4x + 4x = 0 cx + 0 = 7 + -8x + 4x cx = 7 + -8x + 4x Combine like terms: -8x + 4x = -4x cx = 7 + -4x Divide each side by 'x'. c = 7x-1 + -4 Simplifying c = 7x-1 + -4 Reorder the terms: c = -4 + 7x-1
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