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Simplifying -31 = 4c + 11 + -9x + -19 Reorder the terms: -31 = 11 + -19 + 4c + -9x Combine like terms: 11 + -19 = -8 -31 = -8 + 4c + -9x Solving -31 = -8 + 4c + -9x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -31 + -4c = -8 + 4c + -4c + -9x Combine like terms: 4c + -4c = 0 -31 + -4c = -8 + 0 + -9x -31 + -4c = -8 + -9x Add '31' to each side of the equation. -31 + 31 + -4c = -8 + 31 + -9x Combine like terms: -31 + 31 = 0 0 + -4c = -8 + 31 + -9x -4c = -8 + 31 + -9x Combine like terms: -8 + 31 = 23 -4c = 23 + -9x Divide each side by '-4'. c = -5.75 + 2.25x Simplifying c = -5.75 + 2.25x
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