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Simplifying 3x + 2 + 5(c + -1) = 8x + 17 Reorder the terms: 3x + 2 + 5(-1 + c) = 8x + 17 3x + 2 + (-1 * 5 + c * 5) = 8x + 17 3x + 2 + (-5 + 5c) = 8x + 17 Reorder the terms: 2 + -5 + 5c + 3x = 8x + 17 Combine like terms: 2 + -5 = -3 -3 + 5c + 3x = 8x + 17 Reorder the terms: -3 + 5c + 3x = 17 + 8x Solving -3 + 5c + 3x = 17 + 8x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5c + 3 + 3x = 17 + 3 + 8x Reorder the terms: -3 + 3 + 5c + 3x = 17 + 3 + 8x Combine like terms: -3 + 3 = 0 0 + 5c + 3x = 17 + 3 + 8x 5c + 3x = 17 + 3 + 8x Combine like terms: 17 + 3 = 20 5c + 3x = 20 + 8x Add '-3x' to each side of the equation. 5c + 3x + -3x = 20 + 8x + -3x Combine like terms: 3x + -3x = 0 5c + 0 = 20 + 8x + -3x 5c = 20 + 8x + -3x Combine like terms: 8x + -3x = 5x 5c = 20 + 5x Divide each side by '5'. c = 4 + x Simplifying c = 4 + x
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