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Simplifying -2(17x + -1) + 7(5x + -1) + -5 = 8 + -9 Reorder the terms: -2(-1 + 17x) + 7(5x + -1) + -5 = 8 + -9 (-1 * -2 + 17x * -2) + 7(5x + -1) + -5 = 8 + -9 (2 + -34x) + 7(5x + -1) + -5 = 8 + -9 Reorder the terms: 2 + -34x + 7(-1 + 5x) + -5 = 8 + -9 2 + -34x + (-1 * 7 + 5x * 7) + -5 = 8 + -9 2 + -34x + (-7 + 35x) + -5 = 8 + -9 Reorder the terms: 2 + -7 + -5 + -34x + 35x = 8 + -9 Combine like terms: 2 + -7 = -5 -5 + -5 + -34x + 35x = 8 + -9 Combine like terms: -5 + -5 = -10 -10 + -34x + 35x = 8 + -9 Combine like terms: -34x + 35x = 1x -10 + 1x = 8 + -9 Combine like terms: 8 + -9 = -1 -10 + 1x = -1 Solving -10 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -1 + 10 1x = -1 + 10 Combine like terms: -1 + 10 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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