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Simplifying 3x + 2 + 5(x + -1) = 5(c + 4) Reorder the terms: 3x + 2 + 5(-1 + x) = 5(c + 4) 3x + 2 + (-1 * 5 + x * 5) = 5(c + 4) 3x + 2 + (-5 + 5x) = 5(c + 4) Reorder the terms: 2 + -5 + 3x + 5x = 5(c + 4) Combine like terms: 2 + -5 = -3 -3 + 3x + 5x = 5(c + 4) Combine like terms: 3x + 5x = 8x -3 + 8x = 5(c + 4) Reorder the terms: -3 + 8x = 5(4 + c) -3 + 8x = (4 * 5 + c * 5) -3 + 8x = (20 + 5c) Solving -3 + 8x = 20 + 5c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8x = 20 + 3 + 5c Combine like terms: -3 + 3 = 0 0 + 8x = 20 + 3 + 5c 8x = 20 + 3 + 5c Combine like terms: 20 + 3 = 23 8x = 23 + 5c Divide each side by '8'. x = 2.875 + 0.625c Simplifying x = 2.875 + 0.625c
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