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Simplifying -2(17x + -2) + 7(5x + -2) + -5 = 2 + -3 Reorder the terms: -2(-2 + 17x) + 7(5x + -2) + -5 = 2 + -3 (-2 * -2 + 17x * -2) + 7(5x + -2) + -5 = 2 + -3 (4 + -34x) + 7(5x + -2) + -5 = 2 + -3 Reorder the terms: 4 + -34x + 7(-2 + 5x) + -5 = 2 + -3 4 + -34x + (-2 * 7 + 5x * 7) + -5 = 2 + -3 4 + -34x + (-14 + 35x) + -5 = 2 + -3 Reorder the terms: 4 + -14 + -5 + -34x + 35x = 2 + -3 Combine like terms: 4 + -14 = -10 -10 + -5 + -34x + 35x = 2 + -3 Combine like terms: -10 + -5 = -15 -15 + -34x + 35x = 2 + -3 Combine like terms: -34x + 35x = 1x -15 + 1x = 2 + -3 Combine like terms: 2 + -3 = -1 -15 + 1x = -1 Solving -15 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -1 + 15 1x = -1 + 15 Combine like terms: -1 + 15 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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