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Simplifying 3x + 2(x + -1) = 8x + 17 Reorder the terms: 3x + 2(-1 + x) = 8x + 17 3x + (-1 * 2 + x * 2) = 8x + 17 3x + (-2 + 2x) = 8x + 17 Reorder the terms: -2 + 3x + 2x = 8x + 17 Combine like terms: 3x + 2x = 5x -2 + 5x = 8x + 17 Reorder the terms: -2 + 5x = 17 + 8x Solving -2 + 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. -2 + 5x + -8x = 17 + 8x + -8x Combine like terms: 5x + -8x = -3x -2 + -3x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -3x = 17 + 0 -2 + -3x = 17 Add '2' to each side of the equation. -2 + 2 + -3x = 17 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 17 + 2 -3x = 17 + 2 Combine like terms: 17 + 2 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333
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