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Simplifying x + (6 + 5(x + -1) + 3x) = -17 Reorder the terms: x + (6 + 5(-1 + x) + 3x) = -17 x + (6 + (-1 * 5 + x * 5) + 3x) = -17 x + (6 + (-5 + 5x) + 3x) = -17 Combine like terms: 6 + -5 = 1 x + (1 + 5x + 3x) = -17 Combine like terms: 5x + 3x = 8x x + (1 + 8x) = -17 Remove parenthesis around (1 + 8x) x + 1 + 8x = -17 Reorder the terms: 1 + x + 8x = -17 Combine like terms: x + 8x = 9x 1 + 9x = -17 Solving 1 + 9x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = -17 + -1 9x = -17 + -1 Combine like terms: -17 + -1 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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