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Simplifying 3x + 2 + 2(x + -1) = 8x + 17 Reorder the terms: 3x + 2 + 2(-1 + x) = 8x + 17 3x + 2 + (-1 * 2 + x * 2) = 8x + 17 3x + 2 + (-2 + 2x) = 8x + 17 Reorder the terms: 2 + -2 + 3x + 2x = 8x + 17 Combine like terms: 2 + -2 = 0 0 + 3x + 2x = 8x + 17 3x + 2x = 8x + 17 Combine like terms: 3x + 2x = 5x 5x = 8x + 17 Reorder the terms: 5x = 17 + 8x Solving 5x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5x + -8x = 17 + 8x + -8x Combine like terms: 5x + -8x = -3x -3x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -3x = 17 + 0 -3x = 17 Divide each side by '-3'. x = -5.666666667 Simplifying x = -5.666666667
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