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Simplifying 3x + 2 + 5(x + -1) = 8 + 17 Reorder the terms: 3x + 2 + 5(-1 + x) = 8 + 17 3x + 2 + (-1 * 5 + x * 5) = 8 + 17 3x + 2 + (-5 + 5x) = 8 + 17 Reorder the terms: 2 + -5 + 3x + 5x = 8 + 17 Combine like terms: 2 + -5 = -3 -3 + 3x + 5x = 8 + 17 Combine like terms: 3x + 5x = 8x -3 + 8x = 8 + 17 Combine like terms: 8 + 17 = 25 -3 + 8x = 25 Solving -3 + 8x = 25 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 = 25 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 25 + 3 8x = 25 + 3 Combine like terms: 25 + 3 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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