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