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Simplifying -2(17x + -3) + 7(5x + -1) + -7 = 8 + -5 Reorder the terms: -2(-3 + 17x) + 7(5x + -1) + -7 = 8 + -5 (-3 * -2 + 17x * -2) + 7(5x + -1) + -7 = 8 + -5 (6 + -34x) + 7(5x + -1) + -7 = 8 + -5 Reorder the terms: 6 + -34x + 7(-1 + 5x) + -7 = 8 + -5 6 + -34x + (-1 * 7 + 5x * 7) + -7 = 8 + -5 6 + -34x + (-7 + 35x) + -7 = 8 + -5 Reorder the terms: 6 + -7 + -7 + -34x + 35x = 8 + -5 Combine like terms: 6 + -7 = -1 -1 + -7 + -34x + 35x = 8 + -5 Combine like terms: -1 + -7 = -8 -8 + -34x + 35x = 8 + -5 Combine like terms: -34x + 35x = 1x -8 + 1x = 8 + -5 Combine like terms: 8 + -5 = 3 -8 + 1x = 3 Solving -8 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 3 + 8 1x = 3 + 8 Combine like terms: 3 + 8 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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