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Simplifying -2(x + 9) = -3x + -17 Reorder the terms: -2(9 + x) = -3x + -17 (9 * -2 + x * -2) = -3x + -17 (-18 + -2x) = -3x + -17 Reorder the terms: -18 + -2x = -17 + -3x Solving -18 + -2x = -17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + -2x + 3x = -17 + -3x + 3x Combine like terms: -2x + 3x = 1x -18 + 1x = -17 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 1x = -17 + 0 -18 + 1x = -17 Add '18' to each side of the equation. -18 + 18 + 1x = -17 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -17 + 18 1x = -17 + 18 Combine like terms: -17 + 18 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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