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Simplifying 3x + 2 + (x + -1) = 8x + 17 Reorder the terms: 3x + 2 + (-1 + x) = 8x + 17 Remove parenthesis around (-1 + x) 3x + 2 + -1 + x = 8x + 17 Reorder the terms: 2 + -1 + 3x + x = 8x + 17 Combine like terms: 2 + -1 = 1 1 + 3x + x = 8x + 17 Combine like terms: 3x + x = 4x 1 + 4x = 8x + 17 Reorder the terms: 1 + 4x = 17 + 8x Solving 1 + 4x = 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. 1 + 4x + -8x = 17 + 8x + -8x Combine like terms: 4x + -8x = -4x 1 + -4x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -4x = 17 + 0 1 + -4x = 17 Add '-1' to each side of the equation. 1 + -1 + -4x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 17 + -1 -4x = 17 + -1 Combine like terms: 17 + -1 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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