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Simplifying -1c + 9 + -4x = -5(x + 2) Reorder the terms: 9 + -1c + -4x = -5(x + 2) Reorder the terms: 9 + -1c + -4x = -5(2 + x) 9 + -1c + -4x = (2 * -5 + x * -5) 9 + -1c + -4x = (-10 + -5x) Solving 9 + -1c + -4x = -10 + -5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1c + -9 + -4x = -10 + -9 + -5x Reorder the terms: 9 + -9 + -1c + -4x = -10 + -9 + -5x Combine like terms: 9 + -9 = 0 0 + -1c + -4x = -10 + -9 + -5x -1c + -4x = -10 + -9 + -5x Combine like terms: -10 + -9 = -19 -1c + -4x = -19 + -5x Add '4x' to each side of the equation. -1c + -4x + 4x = -19 + -5x + 4x Combine like terms: -4x + 4x = 0 -1c + 0 = -19 + -5x + 4x -1c = -19 + -5x + 4x Combine like terms: -5x + 4x = -1x -1c = -19 + -1x Divide each side by '-1'. c = 19 + x Simplifying c = 19 + x
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