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Simplifying 9(x + -1) = 6(2x + 3) + -1x Reorder the terms: 9(-1 + x) = 6(2x + 3) + -1x (-1 * 9 + x * 9) = 6(2x + 3) + -1x (-9 + 9x) = 6(2x + 3) + -1x Reorder the terms: -9 + 9x = 6(3 + 2x) + -1x -9 + 9x = (3 * 6 + 2x * 6) + -1x -9 + 9x = (18 + 12x) + -1x Combine like terms: 12x + -1x = 11x -9 + 9x = 18 + 11x Solving -9 + 9x = 18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -9 + 9x + -11x = 18 + 11x + -11x Combine like terms: 9x + -11x = -2x -9 + -2x = 18 + 11x + -11x Combine like terms: 11x + -11x = 0 -9 + -2x = 18 + 0 -9 + -2x = 18 Add '9' to each side of the equation. -9 + 9 + -2x = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 18 + 9 -2x = 18 + 9 Combine like terms: 18 + 9 = 27 -2x = 27 Divide each side by '-2'. x = -13.5 Simplifying x = -13.5
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