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Simplifying -1(1 + -2x) = -7 + -2(5 + 7x) (1 * -1 + -2x * -1) = -7 + -2(5 + 7x) (-1 + 2x) = -7 + -2(5 + 7x) -1 + 2x = -7 + (5 * -2 + 7x * -2) -1 + 2x = -7 + (-10 + -14x) Combine like terms: -7 + -10 = -17 -1 + 2x = -17 + -14x Solving -1 + 2x = -17 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -1 + 2x + 14x = -17 + -14x + 14x Combine like terms: 2x + 14x = 16x -1 + 16x = -17 + -14x + 14x Combine like terms: -14x + 14x = 0 -1 + 16x = -17 + 0 -1 + 16x = -17 Add '1' to each side of the equation. -1 + 1 + 16x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + 16x = -17 + 1 16x = -17 + 1 Combine like terms: -17 + 1 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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