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Simplifying -2(17x + -1) + 7(5x + -7) + -4 = 3 + -7 Reorder the terms: -2(-1 + 17x) + 7(5x + -7) + -4 = 3 + -7 (-1 * -2 + 17x * -2) + 7(5x + -7) + -4 = 3 + -7 (2 + -34x) + 7(5x + -7) + -4 = 3 + -7 Reorder the terms: 2 + -34x + 7(-7 + 5x) + -4 = 3 + -7 2 + -34x + (-7 * 7 + 5x * 7) + -4 = 3 + -7 2 + -34x + (-49 + 35x) + -4 = 3 + -7 Reorder the terms: 2 + -49 + -4 + -34x + 35x = 3 + -7 Combine like terms: 2 + -49 = -47 -47 + -4 + -34x + 35x = 3 + -7 Combine like terms: -47 + -4 = -51 -51 + -34x + 35x = 3 + -7 Combine like terms: -34x + 35x = 1x -51 + 1x = 3 + -7 Combine like terms: 3 + -7 = -4 -51 + 1x = -4 Solving -51 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 1x = -4 + 51 Combine like terms: -51 + 51 = 0 0 + 1x = -4 + 51 1x = -4 + 51 Combine like terms: -4 + 51 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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