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Simplifying -2(17x + -4) + 7(5x + -7) + -9 = 7 + -5 Reorder the terms: -2(-4 + 17x) + 7(5x + -7) + -9 = 7 + -5 (-4 * -2 + 17x * -2) + 7(5x + -7) + -9 = 7 + -5 (8 + -34x) + 7(5x + -7) + -9 = 7 + -5 Reorder the terms: 8 + -34x + 7(-7 + 5x) + -9 = 7 + -5 8 + -34x + (-7 * 7 + 5x * 7) + -9 = 7 + -5 8 + -34x + (-49 + 35x) + -9 = 7 + -5 Reorder the terms: 8 + -49 + -9 + -34x + 35x = 7 + -5 Combine like terms: 8 + -49 = -41 -41 + -9 + -34x + 35x = 7 + -5 Combine like terms: -41 + -9 = -50 -50 + -34x + 35x = 7 + -5 Combine like terms: -34x + 35x = 1x -50 + 1x = 7 + -5 Combine like terms: 7 + -5 = 2 -50 + 1x = 2 Solving -50 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 1x = 2 + 50 Combine like terms: -50 + 50 = 0 0 + 1x = 2 + 50 1x = 2 + 50 Combine like terms: 2 + 50 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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