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Simplifying 3(2x + 3) + -5(c + -1) = 9 Reorder the terms: 3(3 + 2x) + -5(c + -1) = 9 (3 * 3 + 2x * 3) + -5(c + -1) = 9 (9 + 6x) + -5(c + -1) = 9 Reorder the terms: 9 + 6x + -5(-1 + c) = 9 9 + 6x + (-1 * -5 + c * -5) = 9 9 + 6x + (5 + -5c) = 9 Reorder the terms: 9 + 5 + -5c + 6x = 9 Combine like terms: 9 + 5 = 14 14 + -5c + 6x = 9 Solving 14 + -5c + 6x = 9 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -5c + -14 + 6x = 9 + -14 Reorder the terms: 14 + -14 + -5c + 6x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -5c + 6x = 9 + -14 -5c + 6x = 9 + -14 Combine like terms: 9 + -14 = -5 -5c + 6x = -5 Add '-6x' to each side of the equation. -5c + 6x + -6x = -5 + -6x Combine like terms: 6x + -6x = 0 -5c + 0 = -5 + -6x -5c = -5 + -6x Divide each side by '-5'. c = 1 + 1.2x Simplifying c = 1 + 1.2x
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