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