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Simplifying -2(x + 9) = -1(6 + -5x) + 2x Reorder the terms: -2(9 + x) = -1(6 + -5x) + 2x (9 * -2 + x * -2) = -1(6 + -5x) + 2x (-18 + -2x) = -1(6 + -5x) + 2x -18 + -2x = (6 * -1 + -5x * -1) + 2x -18 + -2x = (-6 + 5x) + 2x Combine like terms: 5x + 2x = 7x -18 + -2x = -6 + 7x Solving -18 + -2x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + -2x + -7x = -6 + 7x + -7x Combine like terms: -2x + -7x = -9x -18 + -9x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + -9x = -6 + 0 -18 + -9x = -6 Add '18' to each side of the equation. -18 + 18 + -9x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = -6 + 18 -9x = -6 + 18 Combine like terms: -6 + 18 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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