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Simplifying 4c + -5(x + -2) = 9x + 14 Reorder the terms: 4c + -5(-2 + x) = 9x + 14 4c + (-2 * -5 + x * -5) = 9x + 14 4c + (10 + -5x) = 9x + 14 Reorder the terms: 10 + 4c + -5x = 9x + 14 Reorder the terms: 10 + 4c + -5x = 14 + 9x Solving 10 + 4c + -5x = 14 + 9x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4c + -10 + -5x = 14 + -10 + 9x Reorder the terms: 10 + -10 + 4c + -5x = 14 + -10 + 9x Combine like terms: 10 + -10 = 0 0 + 4c + -5x = 14 + -10 + 9x 4c + -5x = 14 + -10 + 9x Combine like terms: 14 + -10 = 4 4c + -5x = 4 + 9x Add '5x' to each side of the equation. 4c + -5x + 5x = 4 + 9x + 5x Combine like terms: -5x + 5x = 0 4c + 0 = 4 + 9x + 5x 4c = 4 + 9x + 5x Combine like terms: 9x + 5x = 14x 4c = 4 + 14x Divide each side by '4'. c = 1 + 3.5x Simplifying c = 1 + 3.5x
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