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Simplifying -2(17x + -4) + 7(5x + -7) + -8 = 8 + -7 Reorder the terms: -2(-4 + 17x) + 7(5x + -7) + -8 = 8 + -7 (-4 * -2 + 17x * -2) + 7(5x + -7) + -8 = 8 + -7 (8 + -34x) + 7(5x + -7) + -8 = 8 + -7 Reorder the terms: 8 + -34x + 7(-7 + 5x) + -8 = 8 + -7 8 + -34x + (-7 * 7 + 5x * 7) + -8 = 8 + -7 8 + -34x + (-49 + 35x) + -8 = 8 + -7 Reorder the terms: 8 + -49 + -8 + -34x + 35x = 8 + -7 Combine like terms: 8 + -49 = -41 -41 + -8 + -34x + 35x = 8 + -7 Combine like terms: -41 + -8 = -49 -49 + -34x + 35x = 8 + -7 Combine like terms: -34x + 35x = 1x -49 + 1x = 8 + -7 Combine like terms: 8 + -7 = 1 -49 + 1x = 1 Solving -49 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 1x = 1 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = 1 + 49 1x = 1 + 49 Combine like terms: 1 + 49 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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