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Simplifying 2(5x + 9) + -1(7 + -4x) = -17 Reorder the terms: 2(9 + 5x) + -1(7 + -4x) = -17 (9 * 2 + 5x * 2) + -1(7 + -4x) = -17 (18 + 10x) + -1(7 + -4x) = -17 18 + 10x + (7 * -1 + -4x * -1) = -17 18 + 10x + (-7 + 4x) = -17 Reorder the terms: 18 + -7 + 10x + 4x = -17 Combine like terms: 18 + -7 = 11 11 + 10x + 4x = -17 Combine like terms: 10x + 4x = 14x 11 + 14x = -17 Solving 11 + 14x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 14x = -17 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = -17 + -11 14x = -17 + -11 Combine like terms: -17 + -11 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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