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Simplifying -2(17x + -7) + 7(5x + -7) + -7 = 5 + -4 Reorder the terms: -2(-7 + 17x) + 7(5x + -7) + -7 = 5 + -4 (-7 * -2 + 17x * -2) + 7(5x + -7) + -7 = 5 + -4 (14 + -34x) + 7(5x + -7) + -7 = 5 + -4 Reorder the terms: 14 + -34x + 7(-7 + 5x) + -7 = 5 + -4 14 + -34x + (-7 * 7 + 5x * 7) + -7 = 5 + -4 14 + -34x + (-49 + 35x) + -7 = 5 + -4 Reorder the terms: 14 + -49 + -7 + -34x + 35x = 5 + -4 Combine like terms: 14 + -49 = -35 -35 + -7 + -34x + 35x = 5 + -4 Combine like terms: -35 + -7 = -42 -42 + -34x + 35x = 5 + -4 Combine like terms: -34x + 35x = 1x -42 + 1x = 5 + -4 Combine like terms: 5 + -4 = 1 -42 + 1x = 1 Solving -42 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1x = 1 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 1 + 42 1x = 1 + 42 Combine like terms: 1 + 42 = 43 1x = 43 Divide each side by '1'. x = 43 Simplifying x = 43
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