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Simplifying 3(x + -6) + 9 = -1(1 + -1x) + -26 Reorder the terms: 3(-6 + x) + 9 = -1(1 + -1x) + -26 (-6 * 3 + x * 3) + 9 = -1(1 + -1x) + -26 (-18 + 3x) + 9 = -1(1 + -1x) + -26 Reorder the terms: -18 + 9 + 3x = -1(1 + -1x) + -26 Combine like terms: -18 + 9 = -9 -9 + 3x = -1(1 + -1x) + -26 -9 + 3x = (1 * -1 + -1x * -1) + -26 -9 + 3x = (-1 + 1x) + -26 Reorder the terms: -9 + 3x = -1 + -26 + 1x Combine like terms: -1 + -26 = -27 -9 + 3x = -27 + 1x Solving -9 + 3x = -27 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 3x + -1x = -27 + 1x + -1x Combine like terms: 3x + -1x = 2x -9 + 2x = -27 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 2x = -27 + 0 -9 + 2x = -27 Add '9' to each side of the equation. -9 + 9 + 2x = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -27 + 9 2x = -27 + 9 Combine like terms: -27 + 9 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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