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Simplifying 17x + -1(8x + -9) + -1[4 + -3x + -1(2x + -3)] = 30 Reorder the terms: 17x + -1(-9 + 8x) + -1[4 + -3x + -1(2x + -3)] = 30 17x + (-9 * -1 + 8x * -1) + -1[4 + -3x + -1(2x + -3)] = 30 17x + (9 + -8x) + -1[4 + -3x + -1(2x + -3)] = 30 Reorder the terms: 17x + 9 + -8x + -1[4 + -3x + -1(-3 + 2x)] = 30 17x + 9 + -8x + -1[4 + -3x + (-3 * -1 + 2x * -1)] = 30 17x + 9 + -8x + -1[4 + -3x + (3 + -2x)] = 30 Reorder the terms: 17x + 9 + -8x + -1[4 + 3 + -3x + -2x] = 30 Combine like terms: 4 + 3 = 7 17x + 9 + -8x + -1[7 + -3x + -2x] = 30 Combine like terms: -3x + -2x = -5x 17x + 9 + -8x + -1[7 + -5x] = 30 17x + 9 + -8x + [7 * -1 + -5x * -1] = 30 17x + 9 + -8x + [-7 + 5x] = 30 Reorder the terms: 9 + -7 + 17x + -8x + 5x = 30 Combine like terms: 9 + -7 = 2 2 + 17x + -8x + 5x = 30 Combine like terms: 17x + -8x = 9x 2 + 9x + 5x = 30 Combine like terms: 9x + 5x = 14x 2 + 14x = 30 Solving 2 + 14x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 14x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 30 + -2 14x = 30 + -2 Combine like terms: 30 + -2 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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